Question

1) 6 1/8 * 16/15 (2) 8/11 * 5 1/15

Answer 1

$1) \: 6 \frac{1}{8} \times \frac{16}{15} \\ \frac{49}{8} \times \frac{16}{15} \\ \frac{49}{1} \times \frac{2}{15} \\ = \frac{98}{15} = 6 \frac{8}{15}$

$2) \frac{8}{11} \times 5 \frac{1}{15} \\ \frac{8}{11} \times \frac{1}{3} \\ \ = \frac{8}{33}$

Answer 2

Let's calculate each of these multiplication problems step by step:

1. $6 \frac{1}{8} \times \frac{16}{15}$:

First, convert the mixed number to an improper fraction: $6 \frac{1}{8} = \frac{49}{8}$

Now, multiply the fractions: $\frac{49}{8} \times \frac{16}{15} = \frac{49 \times 16}{8 \times 15}$

Now, simplify the fraction: $\frac{49 \times 16}{8 \times 15} = \frac{784}{120}$

Reduce the fraction to its simplest form: $\frac{784}{120} = \frac{392}{60} = \frac{196}{30} = \frac{98}{15}$

So, $6 \frac{1}{8} \times \frac{16}{15} = \frac{98}{15}$.

2. (\frac{8}{11} \times 5 \frac{1}{15}:

First, convert the mixed number to an improper fraction: $5 \frac{1}{15} = \frac{76}{15}$

Now, multiply the fractions: $\frac{8}{11} \times \frac{76}{15} = \frac{8 \times 76}{11 \times 15}$

Now, simplify the fraction: $\frac{8 \times 76}{11 \times 15} = \frac{608}{165}$

So, $\frac{8}{11} \times 5 \frac{1}{15} = \frac{608}{165}$.