SIMPLIFIED RESULT
0/0
Mixed Number-
Decimal Format0.00
How we got this (Step-by-Step)

How to Use the Fraction Calculator?

 To use our calculator, You just need to enter two fractions and select what you want to do with them. Here is how you use it step by step:

  • Enter the numerator and denominator for your first fraction in the top and bottom boxes
  • Enter the numerator and denominator for your second fraction in the second set of boxes.
  • Select your operation from the dropdown: Addition (+), Subtraction (-), Multiplication (x), or
  • Division (÷) Click on “Calculate and Show Work” to get your result instantly.

You will get three results at once. The simplified fraction, the mixed number form, and the decimal value. All three together so you never need to convert again.

Example:

Suppose you are a class 8 student. Your maths homework asks you to solve this: 3/4 + 5/6

You enter 3 in numerator box 1, 4 in denominator box 1. Then 5 in numerator box 2, and 6 in denominator box 2. Select the + operator. Click Calculate.

Result: 19/12

Mixed Number: 1 & 7/12

Decimal: 1.5833

And below the result, the tool shows you exactly how it found the common denominator (24), how it multiplied numerators across, and how it simplified the final answer. Riya can now understand the method, not just copy the answer.

How Does Our Fraction Calculator Work?

Our tool works on standard publicly available fraction formulas. There is no guesswork involved. For addition and subtraction, it finds a common denominator first. For multiplication, it multiplies straight across. For division, it uses the Keep-Change-Flip method. After getting the raw answer, it automatically finds the Greatest Common Divisor (GCD) and simplifies the fraction for you.

What Operations Can This Fraction Calculator Do?

This tool handles all four basic fraction operations:

Adding Fractions: It finds the Least Common Denominator and adds the fractions correctly.

Addition Formula:

ab+cd=(a×d)+(b×c)b×dExample:12+13=(1×3)+(2×1)2×3=56\begin{aligned} \frac{a}{b} + \frac{c}{d} &= \frac{(a \times d) + (b \times c)}{b \times d} \\ \\ \text{Example:} \quad \frac{1}{2} + \frac{1}{3} &= \frac{(1 \times 3) + (2 \times 1)}{2 \times 3} \\ &= \frac{5}{6} \end{aligned}

Subtracting Fractions: Same method as addition but subtracts the numerators after finding the common base.

Subtraction Formula:

ab−cd=(a×d)−(b×c)b×dExample:34−14=(3×4)−(4×1)4×4=816=12\begin{aligned} \frac{a}{b} – \frac{c}{d} &= \frac{(a \times d) – (b \times c)}{b \times d} \\ \\ \text{Example:} \quad \frac{3}{4} – \frac{1}{4} &= \frac{(3 \times 4) – (4 \times 1)}{4 \times 4} \\ &= \frac{8}{16} \\ &= \frac{1}{2} \end{aligned}

Multiplying Fractions: Multiply numerator by numerator and denominator by denominator. Simple and direct.

Multiplication Formula:

ab×cd=a×cb×dExample:23×34=2×33×4=612=12\begin{aligned} \frac{a}{b} \times \frac{c}{d} &= \frac{a \times c}{b \times d} \\ \\ \text{Example:} \quad \frac{2}{3} \times \frac{3}{4} &= \frac{2 \times 3}{3 \times 4} \\ &= \frac{6}{12} \\ &= \frac{1}{2} \end{aligned}

Dividing Fractions: It flips the second fraction and multiplies. The Keep-Change-Flip method, done automatically.

Division Formula:

ab÷cd=a×db×cExample:12÷14=1×42×1=42=2\begin{aligned} \frac{a}{b} \div \frac{c}{d} &= \frac{a \times d}{b \times c} \\ \\ \text{Example:} \quad \frac{1}{2} \div \frac{1}{4} &= \frac{1 \times 4}{2 \times 1} \\ &= \frac{4}{2} \\ &= 2 \end{aligned}

After every calculation, the tool divides both numerator and denominator by their Greatest Common Divisor (GCD) to give you the most simplified form. So you always get a clean final answer, not a messy big number fraction.

What is a Fraction?

A fraction represents a part of a whole. It has two parts. The number on top is the numerator and the number at the bottom is the denominator. For example, in 3/4, the number 3 is numerator and 4 is denominator. It simply means 3 parts out of 4 total parts.

What is a Simplified Fraction?

A simplified fraction is a fraction where the numerator and denominator have no common factor other than 1. For example, 4/8 is not simplified. Its simplified form is 1/2. Our tool does this automatically using the GCD method. You do not need to simplify it yourself.

What is a Mixed Number?

When a fraction is improper (where the numerator is bigger than denominator), it can also be written as a mixed number. For example, 7/4 as a mixed number is 1 & 3/4. Our tool shows you both forms so you always have the complete picture.

Frequently Asked Questions

Can this calculator handle negative fractions?

Yes, You can enter negative numbers in the numerator or denominator box. The tool handles the sign automatically and gives you the correct simplified result.

What is the difference between a proper and improper fraction?

A proper fraction is where the numerator is smaller than the denominator. Like 3/4. An improper fraction is where the numerator is equal to or bigger than the denominator. Like 7/4. Our tool handles both and also converts improper fractions into mixed numbers automatically.

How is dividing fractions different from multiplying?

In multiplication you directly multiply numerator with numerator and denominator with denominator. In division you flip the second fraction first (swap its numerator and denominator) and then multiply. This method is called Keep-Change-Flip. Our tool does this automatically so you do not need to remember the steps every time.

What is GCD and why does it matter?

GCD stands for Greatest Common Divisor. It is the biggest number that can divide both the numerator and denominator evenly. Our tool uses GCD to simplify your fraction to its lowest form. For example if your raw answer is 12/16, the GCD is 4, so the simplified result becomes 3/4.

Disclaimer: Our tool uses past data and trends, so it may be inaccurate. Always check with the official universities. If you find anything wrong, please report it immediately at [email protected], and we will update it as soon as possible.