d) $$ \frac{1}{5} imes \frac{5}{3}+\frac{7}{3} imes \frac{2}{7} $$

Question

d) $$ \frac{1}{5} 	imes \frac{5}{3}+\frac{7}{3} 	imes \frac{2}{7} $$

UpStudy AI · Accepted Answer

Let's simplify the expression step by step:

$$
\frac{1}{5} \times \frac{5}{3} + \frac{7}{3} \times \frac{2}{7}
$$

1. **Multiply the first pair of fractions:**

$$
\frac{1}{5} \times \frac{5}{3} = \frac{1 \times 5}{5 \times 3} = \frac{5}{15} = \frac{1}{3}
$$

2. **Multiply the second pair of fractions:**

$$
\frac{7}{3} \times \frac{2}{7} = \frac{7 \times 2}{3 \times 7} = \frac{14}{21} = \frac{2}{3}
$$

3. **Add the two results:**

$$
\frac{1}{3} + \frac{2}{3} = \frac{3}{3} = 1
$$

**Final Answer:** 1
The final answer is 1.

d)