Question

The fraction models below represent two fractions of the same whole. How many 7 over 10s are there in 1 over 5?

Two rectangles of the same size are drawn side by side touching each other. The first rectangle is divided into 10 portions of equal size. Seven of these are shaded. The shaded portion alone is labeled as 7 over 10. The second rectangle is divided into 5 portions of equal size. One portion is shaded. The shaded portion alone is labeled 1 over 5.

fraction 7 over 50
fraction 8 over 50
fraction 1 over 7
fraction 2 over 7

Answer 1

To determine how many 7 over 10s are there in 1 over 5, we need to compare the two fractions and find their relationship.

Given:

7 over 10 represents the shaded portion in a rectangle divided into 10 equal portions, with 7 portions shaded.

1 over 5 represents the shaded portion in a rectangle divided into 5 equal portions, with 1 portion shaded.

To find the relationship between these two fractions, we can compare the number of shaded portions in each rectangle.

Since there are 7 shaded portions out of 10 in the first rectangle and 1 shaded portion out of 5 in the second rectangle, we need to determine how many times the shaded portion in the first rectangle fits into the shaded portion in the second rectangle.

To find this, we can set up a proportion:

7/10 = x/1

Cross-multiplying, we get:

10x = 7

Solving for x, we divide both sides by 10:

x = 7/10

Therefore, there are 7 over 10s in 1 over 5.