Question

angela is plowing a large field for spring planting. on the first day, she plowed 2/7 of the field. on the second day, she plowed 2/3 of the field. what fraction of the field is not plowed at the end of the second day? a) 1/21 b) 4/21 c) 17/21 d) 20/21

Explanation:

Step1: Find total plowed fraction

First, find the total fraction of the field plowed in two days. The first day she plowed $\frac{2}{7}$, the second day $\frac{2}{3}$. To add these, find a common denominator (21). Convert: $\frac{2}{7}=\frac{6}{21}$, $\frac{2}{3}=\frac{14}{21}$. Then add: $\frac{6}{21}+\frac{14}{21}=\frac{20}{21}$.

Step2: Find unplowed fraction

The whole field is 1 (or $\frac{21}{21}$). Subtract the plowed fraction from 1: $\frac{21}{21}-\frac{20}{21}=\frac{1}{21}$.

Answer:

A) 1/21