Fractions as parts of shapes

Question 1

Which description shows two different ways to divide a square into four equal‑area parts?

Accepted Answer

Draw a vertical line down the middle and a horizontal line across the middle, making four small squares; then draw both diagonal lines from corner to corner, making four equal triangles.

Answer

Draw only a vertical line down the middle, making two rectangles; then draw only a horizontal line across the middle, making two rectangles.

Answer

Draw three equal vertical strips, making three parts; then draw a vertical and a horizontal line to make four squares.

Answer

Draw a vertical and a horizontal line to make four squares, and then draw the same vertical and horizontal lines again.

Question 2

A rectangle is divided into 5 equal parts. What fraction of the whole rectangle is each part?

Accepted Answer

1/5

Answer

1/2

Answer

1/6

Answer

1/4

Question 3

A rectangle is partitioned into 6 equal parts, each having the same area. What fraction of the rectangle’s area does one part represent?

Accepted Answer

1/6

Answer

1/5

Answer

1/2

Answer

1/3

Try three questions

Which description shows two different ways to divide a square into four equal‑area parts?

A rectangle is divided into 5 equal parts. What fraction of the whole rectangle is each part?

A rectangle is partitioned into 6 equal parts, each having the same area. What fraction of the rectangle’s area does one part represent?

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