Question

В)7 : 14/15s)16/17 : 8​

Answer 1

$7 \div \frac{14}{15} = \frac{7}{1} \times \frac{15}{14} = \frac{1}{1} \times \frac{15}{7} = \frac{15}{7} = 2 \frac{1}{7} \\ \\ \frac{16}{17} \div 8 = \frac{16}{17} \times \frac{1}{8} = \frac{2}{17} \times \frac{1}{1} = \frac{2}{17}$

Answer 2

It looks like you're providing a pattern involving fractions and asking for the next term in the sequence. Let's analyze the given pattern:

$7 : \frac{14}{15} :: \frac{16}{17} : 8$

To determine the pattern, let's observe the relationship between the terms.

The first ratio is $7 : \frac{14}{15}$. To go from 7 to $\frac{14}{15}$, we are multiplying by $\frac{14}{15}$:

$7 \times \frac{14}{15} = \frac{98}{15} = 6\frac{8}{15}$

Now, let's check if this relationship holds for the second ratio.

$\frac{16}{17}$ multiplied by $\frac{14}{15}$ is:

$\frac{16}{17} \times \frac{14}{15} = \frac{224}{255} = \frac{64}{73}$

So, the pattern appears to be:

$7 : \frac{14}{15} :: \frac{16}{17} : \frac{64}{73}$

Now, let's find the next term following this pattern:

To go from $\frac{16}{17}$ to the next term, we multiply by $\frac{64}{73}$:

$\frac{16}{17} \times \frac{64}{73} = \frac{1024}{1241}$

So, the next term in the pattern is $\frac{1024}{1241}$, which is approximately $0.8277$.