before it started to rain amar cut 1/6 of grass and aayush cut 1/3 of the grass which statement is true

Question

A. the boys cut almost the whole yard.
B. together the boys cut three-fourths of the yard.
C. the boys cut exactly half of the yard
D. together the boys did not cut half of the yard

Answer 1

To determine which statement is true, we need to add the fractions of grass that Amar and Aayush cut.

Amar cut \( \frac{1}{6} \) of the grass, and Aayush cut \( \frac{1}{3} \) of the grass.

First, we need to convert \( \frac{1}{3} \) to a fraction with a common denominator of 6:

\[ \frac{1}{3} = \frac{2}{6} \]

Now we can add the fractions:

\[ \text{Total cut} = \frac{1}{6} + \frac{2}{6} = \frac{3}{6} = \frac{1}{2} \]

So, together the boys cut exactly half of the yard. Therefore, the correct statement is:

C. the boys cut exactly half of the yard.