Add.

Question

5/7 + 1/4

Answer 1

To add the fractions $\frac{5}{7}$ and $\frac{1}{4}$, we need to find a common denominator. The least common multiple of 7 and 4 is 28.

Now, we will convert each fraction to have a denominator of 28:

1. Convert $\frac{5}{7}$: $$\frac{5}{7}=\frac{5\times 4}{7\times 4}=\frac{20}{28}$$

2. Convert $\frac{1}{4}$: $$\frac{1}{4}=\frac{1\times 7}{4\times 7}=\frac{7}{28}$$

Now we can add the fractions: $$\frac{20}{28}+\frac{7}{28}=\frac{20+7}{28}=\frac{27}{28}$$

Therefore, $\frac{5}{7}+\frac{1}{4}=\frac{27}{28}$.