Question

select all of the ratios that are equivalent to 4 to 7.
5/8
12/10
8.14
5 to 10
16/28
9 to 16​

Answer 1

Answer:

$\frac{16}{28}$

Step-by-step explanation:

Question asked:

Select all of the ratios that are equivalent to 4 to 7.

1) 5/8

2) 12/10

3) 8.14

4) 5 to 10

5) 16/28

6) 9 to 16​

Solution:

To know the ratios are equivalent to $\frac{4}{7}$ or not, we have to check each by cross multiplication:-

1) $\frac{5}{8}$

$\frac{4}{7} =\frac{5}{8}$

By cross multiplication:

$4\times8=5\times7\\ \\ 32=35$

Not equivalent.

2) $\frac{12}{10}$

$\frac{4}{7} =\frac{12}{10}$

By cross multiplication:

$4\times10=12\times7\\ \\ 40=84$

Not equivalent.

3) 8.14 = $\frac{814}{100} \ eliminating\ decimal$

$\frac{4}{7} =\frac{814}{100}$

By cross multiplication:

$4\times100=814\times7\\ \\ 400=5698$

Not equivalent.

4) $\frac{5}{10}$

$\frac{4}{7} =\frac{5}{10}$

By cross multiplication:

$4\times10=5\times7\\ \\ 40=35$

Not equivalent.

5)$\frac{16}{28}$

$\frac{4}{7} =\frac{16}{28}$

By cross multiplication:

$4\times28=16\times7\\ \\ 112=112$

Yes, this is equivalent.

6) $\frac{9}{16}$

$\frac{4}{7} =\frac{9}{16}$

By cross multiplication:

$4\times16=9\times7\\ \\ 64=63$

Not equivalent.

Thus, only $\frac{16}{28}$ is equivalent.