Fraction Calculator

Guide to the Fraction Calculator

The Fraction Calculator can handle arithmetic with fractions, mixed numbers, and decimals. It features easy input of numerators and denominators, providing real-time results, automatic simplification, and fraction-decimal conversion. Whether you are checking your child's math homework, tackling complex woodworking calculations, or adjusting a recipe, this tool has you covered.

How to Use the Fraction Calculator

Left Keypad: Use the buttons to input integers, decimals, or the whole number part of a mixed fraction.
Middle Keypad: Use the buttons above the line for the numerator and the buttons below the line for the denominator.
Right Keypad: Use the buttons to input operators (add, subtract, multiply, divide). The calculator automatically handles common denominators, simplifies results, and allows you to view the decimal equivalent.

What are Fractions?

Understanding the following basic concepts will help you get the most out of this fraction calculator:

Fraction: A number representing a part of a whole. It is written as
numeratordenominator
, where the numerator shows how many parts are taken and the denominator shows the total number of equal parts. Please note that the denominator of a fraction cannot be zero.
Proper Fraction: A fraction where the numerator is less than the denominator (e.g.,
12
).
Improper Fraction: A fraction where the numerator is greater than or equal to the denominator (e.g.,
53
). People sometimes call these top-heavy fractions.
Mixed Fraction: Also known as mixed numerals or mixed numbers, it is a combination of a whole number and a proper fraction (e.g.,
1
12
).

Operations with Fractions

How to add and subtract fractions

How do you add or subtract fractions? The key is to check if the denominators are the same:

If the denominators match, simply add or subtract the numerators while keeping the denominator unchanged. If the denominators differ, you cannot simply add the top numbers. First, convert them into equivalent fractions with a common denominator (like the LCM), and then add or subtract.

For example:

412

312

112

How to multiply and divide fractions

How do you multiply or divide fractions? Unlike addition and subtraction, you don't need common denominators—just calculate directly:

Multiplication: Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Tip: You can simplify before multiplying by canceling common factors diagonally (cross-cancellation).

Division: To divide fractions, flip the second fraction (find its reciprocal) and then multiply. Just remember 'Keep, Change, Flip': Keep the first fraction, Change division to multiplication, and Flip the second fraction. (a/b ÷ c/d = a/b × d/c).

For example:

1 × 23 × 5

215

For example:

How to simplify Fractions

How do you simplify a fraction? To reduce fractions to their simplest form, the standard method is to divide the numerator and denominator by the Greatest Common Factor (GCF). In fraction calculations, we usually express results in their lowest terms to make them easier to read.

Pro Tip: Use our fraction calculator to automatically provide the simplified fraction result instantly—saving you time and eliminating the need for manual calculations!

For example:

4 ÷ 48 ÷ 4

Converting Between Fractions and Decimals

Convert Decimals to Fractions

How to convert a decimal to a fraction? It's easier than you think: Remove the decimal point and use the resulting number as the numerator, with the appropriate power of 10 as the denominator (10 for one decimal place, 100 for two, etc.), then simplify.

For example: 0.75 =

75100

Convert Fractions to Decimals

How to turn a fraction to a decimal? It's also simple: Divide the numerator by the denominator. Alternatively, if the denominator can be easily converted to a power of 10 (like 10, 100, or 1000) by multiplying both numerator and denominator by the same number, you can then read the decimal directly.

For example:

510

= 0.5

For example:

= 1 ÷ 4 = 0.25

Pro Tip: This calculator offers one-tap conversion—just tap the conversion button to instantly convert your result between fraction and decimal. If your result is a fraction, it becomes a decimal; if it's a decimal, it becomes a fraction.