Question

The three shapes below are identical. 3/5

of shape A is shaded, and 5/7 of shape B is shaded. What fraction of shape C is shaded??

a) 11/ 21
b) 5 / 12
c) 1/2
d) 4/7
​

Answer 1

To find the fraction of shape C that is shaded, find a common denominator between 5 and 7. Multiply the numerators and denominators of 3/5 and 5/7 by the necessary numbers. Add the fractions to find the total fraction of shape C that is shaded.

Step-by-step explanation:

To find the fraction of shape C that is shaded, we need to find a common denominator between 5 and 7. The least common denominator of 5 and 7 is 35.

Multiplying the numerator and denominator of the 3/5 of shape A by 7, we get 21/35 of shape A shaded.

Multiplying the numerator and denominator of the 5/7 of shape B by 5, we get 25/35 of shape B shaded.

Adding 21/35 and 25/35, we get a total of 46/35 of shape C shaded.

Therefore, the fraction of shape C that is shaded is 46/35.