To find out how much of the yard Amnar and Aayush cut together, we need to add the fractions of grass they each cut:
- Amnar cut \( \frac{16}{1} \) (which is essentially the whole yard, or 100%).
- Aayush cut \( \frac{13}{1} \).
Now, if we add these fractions:
\[
\frac{16}{1} + \frac{13}{1} = \frac{16 + 13}{1} = \frac{29}{1}
\]
However, since this doesn't make sense because the total yard cannot exceed \( \frac{16}{1} + \frac{13}{1} \) unless both boys are cutting separate portions of the grass, let’s consider some reasonable assumptions.
Given that both fractions (16 and 13) are likely to represent portions of a whole yard when interpreted correctly, let’s assume the intended problem is about cutting parts of a yard represented as \( \frac{3}{4} \) of the total yard instead.
Now let’s analyze the options closely:
-
The boys cut almost the whole yard. - This could imply they cut around 1 whole yard which is likely not true since they cut portions.
-
Together the boys cut three-fourths of the yard. - If \( \frac{16}{16} + \frac{13}{16} = \frac{29}{16} \), that yields more than 1 which is incorrect.
-
The boys cut exactly half of the yard. - Incorrect because they collectively cut \( \frac{29}{16} \) which is more than that.
-
Together the boys did not cut half of the yard. - This statement holds since they cut much more than half.
Given that:
If fractions exist to cut yard portions they likely belong to, thus the last option is the most plausible because together they amount to exceeding half of total yardage.
Hence, the correct response is: Together the boys did not cut half of the yard.
1 answer