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What Is the Fractions?(With Examples)

A fraction represents a part of a whole. It consists of a numerator (top number) showing how many parts you have, and a denominator (bottom number) showing how many equal parts the whole is divided into. Fractions are one of the fundamental concepts in mathematics.

Grades 4-6 (Elementary)Key Stage 2-3Årskurs 4-6

📖Definition

📐Formula

a/b where b ≠ 0

The number a is called the numerator, b is called the denominator. The denominator cannot be zero because division by zero is undefined.

📝Step-by-Step Guide

Adding/Subtracting Fractions

Find a common denominator, convert fractions, then add/subtract numerators.

a/b + c/d = (ad + bc)/bd

Multiplying Fractions

Multiply numerators together and denominators together.

a/b × c/d = ac/bd

Dividing Fractions

Multiply by the reciprocal (flip the second fraction).

a/b ÷ c/d = a/b × d/c = ad/bc

Simplifying

Divide both numerator and denominator by their greatest common factor (GCF).

⚠️Common Mistakes to Avoid

Adding denominators when adding fractions (wrong!)
Forgetting to find a common denominator before adding/subtracting
Not simplifying the final answer
Flipping the wrong fraction when dividing

✏️Practice Problems

Easy

Calculate 1/4 + 1/4

Answer: 1/2

Medium

Calculate 2/3 + 3/4

Answer: 17/12 or 1 5/12

Hard

Calculate (2/3 × 5/6) ÷ 1/2

Answer: 10/9 or 1 1/9

Printable Fractions practice

Need more than a few examples? Create a printable fractions test with a worked answer key, balanced difficulty, and a teacher-reviewed PDF.

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Worked Examples

Add 2/3 + 3/4 Step by Stepmedium

Add Fractions Step by Stepeasy

Subtract Fractions Step by Stepeasy

Decimals Percentages Mixed Numbers Ratios and Proportions

Curriculum Alignment

CommonCore (5.NF)KS3

Classroom assessment context

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