½ Fractions Explorer

add · subtract · multiply · divide · step-by-step working · visual bars · equivalent fractions

Fraction A
+
Fraction B
=
—
—
Step-by-step working
What is this?

Fractions represent parts of a whole — how many equal pieces you have out of the total. The Fractions Explorer lets you add, subtract, multiply, and divide fractions visually with full step-by-step working.

Why does it matter?

Fractions are everywhere — cooking recipes, music rhythm, probability, percentages, and all of algebra. Mastering fractions is the essential gateway to ratios, decimals, and higher mathematics.

Key terms
Numerator — the top number; how many equal parts you have Denominator — the bottom number; total equal parts in the whole Equivalent fractions — different fractions with the same value (½ = 2/4 = 4/8) LCD — Lowest Common Denominator; required when adding or subtracting fractions Simplify — reduce a fraction by dividing numerator and denominator by their GCD Reciprocal — flip a fraction upside down; used when dividing by a fraction
🎯 Try this challenge

Calculate ¾ + ⅔ using the explorer. Then try ¾ ÷ ⅔ — what happens to the reciprocal of ⅔? Finally, what do you notice about ½ × ½ compared to ½ + ½?

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