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Fraction Calculator Dekho : An easy way to do addition, subtraction, multiplication, and division
Fraction Calculator Dekho :- In math, fractions are considered one of the most confusing topics. Whether it is a school kid, a student preparing for a competitive exam, or someone who deals with fractions in daily life (like cooking, construction, finance), calculating fractions correctly is not always easy.
In today’s digital age, you no longer need to do long fraction calculations on paper. The easiest way for this is — Fraction Calculator Dekho Online. This tool solves addition, subtraction, multiplication, and division of fractions in just a few seconds.
Basic understanding of Fractions
Fraction means “a part of a whole.” For example, if you have a pizza cut into 8 slices and you ate 3 slices, then your fraction will be 3/8.
Types of Fractions:
- Proper Fractions – Numerator < Denominator (like 3/8)
- Improper Fractions – Numerator > Denominator (like 9/4)
- Mixed Fractions – Whole number + Proper fraction (like 2 1/3)
- Equivalent Fractions – Different fractions that have the same value (like 1/2 and 2/4)
To simplify and compare them, using an equivalent fractions calculator and a simplify fractions calculator is a very easy way.
What is a Fraction Calculator?
Fractions Calculator Dekho is a free online tool that helps you do calculations with fractions. Whether you want to:
- Add fractions
- Subtract fractions
- Multiply fractions
- Divide fractions
……everything becomes easy.
The biggest advantage of an online fraction calculator is that it also shows the step-by-step process. For example, if you use the adding fractions calculator Dekho, it first shows the LCD (Least Common De…
How to use a Fraction Calculator?
- Enter the numerator and denominator in the calculator.
- Choose the operation ( + , – , × , ÷ )
- Press the Calculate button.
- The result will appear in fraction, mixed number, or decimal form.
👉 Example:
If you want to calculate:
1/2 + 3/4
➗ Fraction Calculation Example
Question: \( \frac{1}{2} + \frac{3}{4} \)
Step 1: Find the LCD (Least Common Denominator) → 4
Step 2: \( \frac{1 \times 2}{2 \times 2} + \frac{3}{4} = \frac{2}{4} + \frac{3}{4} \)
Step 3: Result → \( \frac{5}{4} = 1\frac{1}{4} \)
The fractions calculator will show you this result step by step.
Fractions Operations with Examples
Adding Fractions Dekho
The way to add fractions depends on their denominators.
1️⃣ If the denominators are the same:
Just add the numerators.
➗ Fractions with Same Denominator
Formula:
$$\frac{a}{d} + \frac{b}{d} = \frac{a+b}{d}$$
Example:
$$\frac{2}{5} + \frac{1}{5} = \frac{2+1}{5} = \frac{3}{5}$$
2️⃣ If the denominators are different:
- Find the LCM of the denominators
- Make the denominators the same
- Then add the numerators
➗ Fraction Addition Formula
Formula:
$$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$$
Example:
$$\frac{1}{4} + \frac{2}{3} = \frac{1\times3 + 2\times4}{4\times3} = \frac{3 + 8}{12} = \frac{11}{12}$$
Remember the shortcut:
- Denominator equal → just add the numerators
- Denominator different → find the LCM, adjust the numerators, and then add
For this, you can use the adding fractions calculator Dekho or the Dekho Free Online add fractions calculator.
Subtracting Fractions Dekho
- The method for subtracting fractions is the same as adding, just subtract instead of adding.
- If the denominators are the same: just subtract the numerators.
➖ Subtracting Fractions
1️⃣ When the denominators are the same:
Formula:
$$\frac{a}{d} – \frac{b}{d} = \frac{a-b}{d}$$
Example:
$$\frac{5}{7} – \frac{2}{7} = \frac{5-2}{7} = \frac{3}{7}$$
2️⃣ When the denominators are different:
Formula:
$$\frac{a}{b} – \frac{c}{d} = \frac{ad – bc}{bd}$$
Example:
$$\frac{3}{4} – \frac{1}{6} = \frac{3\times6 – 1\times4}{4\times6} = \frac{18-4}{24} = \frac{14}{24} = \frac{7}{12}$$
Remember the shortcut:
- Denominator equal → just subtract the numerators
- Denominator different → find the LCM, adjust the numerators, and then subtract
Multiplying Fractions Dekho
Multiplying fractions is the easiest! – Just multiply the numerator with the numerator and the denominator with the denominator.
📘 Formula:
$$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$
📍 Example:
$$\frac{2}{3} \times \frac{4}{5} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15}$$
$$\frac{3}{2} \times \frac{5}{4} = \frac{3 \times 5}{2 \times 4} = \frac{15}{8}$$
💡 Trick: First simplify (cross-cancel) so that the answer comes out smaller.
$$\frac{3}{4} \times \frac{8}{9} = \frac{\cancel{3}}{\cancel{4}} \times \frac{\cancel{8}}{\cancel{9}} = \frac{2}{3}$$
Remember the shortcut:
- While multiplying, just multiply top with top and bottom with bottom.
- Do not cross multiply!
For this, you can use the multiplying fractions calculator or the multiply fractions calculator Dekho.
Dividing Fractions
The easiest way to divide fractions is:
Multiply by the reciprocal of the second fraction.
➗ Dividing Fractions
📘 Formula:
$$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a \times d}{b \times c}$$
📍 Example:
$$\frac{3}{5} \div \frac{2}{7} = \frac{3}{5} \times \frac{7}{2} = \frac{3 \times 7}{5 \times 2} = \frac{21}{10}$$
$$\frac{5}{3} \div \frac{7}{2} = \frac{5}{3} \times \frac{2}{7} = \frac{5 \times 2}{3 \times 7} = \frac{10}{21}$$
Trick:
- Change divide to multiply
- Flip the second fraction (denominator ↔ numerator)
- Then do normal multiplication
Shortcut :
- Keep the first fraction the same
- Flip the second fraction and multiply
For this, the dividing fractions calculator or divide fractions calculator Dekho is very helpful.
Simplifying Improper Fractions & Mixed Numbers
Sometimes fractions are improper (numerator > denominator). In such cases, the calculator automatically converts it into a mixed number.
What is an Improper Fraction?
A fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number).
🔢 Improper Fraction → Mixed Number
📘 Steps:
- Divide the numerator by the denominator.
- Quotient = whole number
- Remainder = new numerator
- The denominator remains the same.
📍 Formula:
$$\frac{a}{b} = q \frac{r}{b} \quad \text{जहाँ} \; q = \text{Quotient}, \; r = \text{Remainder}$$
📝 Examples:
$$\frac{7}{4} = 1 \frac{3}{4} \quad \text{(7 ÷ 4 = 1 remainder 3)}$$
$$\frac{9}{3} = 3 \quad \text{(9 ÷ 3 = 3 remainder 0)}$$
$$\frac{15}{8} = 1 \frac{7}{8} \quad \text{(15 ÷ 8 = 1 remainder 7)}$$
2️⃣ What is a Mixed Number?
A number that has a whole number and a proper fraction.
🔢 Mixed Number → Improper Fraction
📘 Steps:
- Multiply the whole number by the denominator.
- Add the numerator to it.
- The denominator remains the same.
📍 Formula:
$$W\ \frac{a}{b} = \frac{(W \times b) + a}{b}$$
📝 Examples:
$$2\ \frac{1}{5} = \frac{(2 \times 5) + 1}{5} = \frac{11}{5}$$
$$1\ \frac{3}{4} = \frac{(1 \times 4) + 3}{4} = \frac{7}{4}$$
3️⃣ Simplifying Fractions
- Divide the numerator and denominator by the GCD (Greatest Common Divisor)
- 📍 Example:
We are simplifying this fraction:
$$\frac{18}{12} = \frac{18 \div 6}{12 \div 6} = \frac{3}{2}$$
When converted into a Mixed Number:
$$\frac{3}{2} = 1 \frac{1}{2}$$
✅ Final Answer: $$\frac{18}{12} = \frac{3}{2} = 1\frac{1}{2}$$
Remember the shortcut:
- Improper → divide to make it Mixed
- Mixed → multiply and add to make it Improper
- Always simplify using the GCD
For this, you can use the simplify fractions calculator or mixed fractions calculator Dekho.
Negative Fractions Dekho
1️⃣ Rule: If either the numerator or the denominator has a “−” in front, the fraction will be negative.
1️⃣ If the numerator is negative:
$$-\frac{4}{3} = \frac{-4}{3} = -\frac{4}{3}$$
2️⃣ If both the numerator and the denominator are negative:
$$\frac{-3}{-4} = \frac{3}{4}$$ $$\frac{-4}{-3} = \frac{4}{3}$$
3️⃣ The correct way to place the negative sign:
$$-\frac{3}{4} \quad \text{(Best way to write)}$$ $$-\frac{4}{3} \quad \text{(Best way to write)}$$
Fraction to Decimal Conversion
- Divide the numerator by the denominator (top number by the bottom number).
Converting a Fraction to a Decimal:
$$\frac{3}{4} = 3 \div 4 = 0.75$$
$$-\frac{5}{2} = -2.5$$
$$-\frac{2}{5} = -0.4$$
Decimal to Fraction Conversion
- To make a decimal a whole number, multiply by 10, 100, 1000…
- The denominator will be the same power of 10.
- Then simplify.
Converting a Decimal to a Fraction:
$$0.75 = \frac{75}{100} = \frac{3}{4}$$
$$-2.5 = -\frac{25}{10} = -\frac{5}{2}$$
$$-0.4 = -\frac{4}{10} = -\frac{2}{5}$$
Shortcut :
- Negative fraction → place “−” in just one place
- Fraction → Decimal = Divide
- Decimal → Fraction = Multiply & simplify
Advanced Use Cases
- Partial Fractions Calculator – to simplify algebraic expressions.
- Equivalent Fractions Calculator – to compare fractions.
- New hdhub4u style reference – on many portals, you will find a variety of online fraction calculators, including the Dekho Free Online add fractions calculator and New hdhub4u fractions tools, which can be seen in a comparison table format.
Limitations of Fraction Calculator
- Fractions with a zero denominator are undefined.
- Handling very large numerators/denominators can be difficult.
- If the input field is left empty, no result will be obtained.
FAQs: Fraction Calculator Dekho
What is a Fraction Calculator?
It is an online tool that adds, subtracts, multiplies, and divides fractions.
How to use the Adding Fractions Calculator Dekho?
Enter the numerators and denominators, choose the operation, and click on calculate.
How does the Simplify Fractions Calculator work?
It simplifies the fraction to its lowest terms and converts it into a mixed number.
What is the use of the Equivalent Fractions Calculator?
It compares different fractions and shows which fractions are equal.
What is the benefit of the Mixed Fractions Calculator Dekho?
It converts improper fractions into mixed numbers.
Where is the Partial Fractions Calculator useful?
In algebraic equations and integration problems.
Conclusion
Solving fractions manually is often time-consuming and prone to errors. But online fractions calculator tools like the adding fractions calculator Dekho, multiplying fractions calculator, dividing fractions calculator, simplify fractions calculator, equivalent fractions calculator, and mixed fractions calculator Dekho have made it very easy.
👉 Whether you are a student, teacher, or preparing for a competitive exam — these tools are extremely helpful for you.
👉 Especially tools like the Dekho Free Online add fractions calculator also provide step-by-step solutions, making learning easier.
✅ Bottom line: If you struggle with fractions, be sure to use the Fractions Calculator Online.
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