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MrMuchimi
3 years ago
10

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

Mathematics
1 answer:
kifflom [539]3 years ago
5 0

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​

<u>Solution</u>:

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

<em><u>Yes, this is equivalent.</u></em>

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.

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