Same denominator means same-sized pieces

2/7 + 3/7 is just two seventh-pieces plus three more seventh-pieces. The result is five seventh-pieces.

The denominator stays 7 because the type of piece has not changed. Only the count has changed.

Use familiar equivalents before the general method

For 1/2 + 1/4, rebuild the half as 2/4. Now the pieces match and the addition is ordinary counting: 2/4 + 1/4 = 3/4.

This is deliberately easier than general unlike-denominator addition, which comes later.

Use money as a confidence check

25p + 25p = 50p, so 1/4 + 1/4 = 1/2 of £1. The same is true for 25¢ + 25¢ = 50¢ of $1.

If the money version feels obvious but the fraction notation does not, translate back and forth until they feel like the same statement.

Move on when…

You can explain why denominators are not added, and you can rename familiar pieces such as halves as quarters or thirds as sixths before adding.

Use the interactive learner lesson when useful

The learner page contains the visual examples and interactive practice. Use it as a tool rather than as a different course: return here when you want the explanation, diagnostic questions and bigger-picture connections.