Question

Check whether the given fractions are equivalent :
$\ \textless \ br /\ \textgreater \ a. \: \frac{5}{9} , \frac{30}{54}$
$\ \textless \ br /\ \textgreater \ b. \: \frac{3}{10} , \frac{12}{50}$
$\ \textless \ br /\ \textgreater \ c. \: \frac{7}{13} , \frac{5}{11}$
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Answer 1

Answer:

$\frac{5}{9} , \: \frac{30}{54}$

To check, we make both fractions equal.

And then cross multiply.

$5 \times 54 = 30 \times 9$

$270 = 270$

Therefore, they are equivalent.

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$\frac{3}{10} , \frac{12}{50}$

To check, we make both fractions equal.

And then cross multiply.

$50 \times 3 = 12 \times 10$

$150≠120$

Therefore, they are not equivalent.

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$\frac{7}{13} , \frac{5}{11}$

To check, we make both fractions equal.

And then cross multiply.

$11 \times 7 = 5 \times 13$

$77≠65$

Therefore, they are not equivalent.

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Answer 2

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$\rm \huge Question : - \\ \rm \: a. \: \frac{5}{9} , \frac{30}{54}$

$\rm \huge \: Solution : - \\ \rm \: a. \: \frac{5}{9} , \frac{30}{54} \: = </p><p>\frac{5 \times 6}{9 \times 6} , \frac{30}{54}= \frac{30}{54} , \frac{30}{54} \\ \rm Therefore \: \frac{5}{9} , \frac{30}{54} \: \rm are \: equivalent.$

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$\rm \huge Question : - \\ \rm \: b. \: \frac{3}{10} , \frac{12}{50}$

$\rm \huge \: Solution : - \\ \rm b. \: \frac{3}{10} , \frac{12}{50} = \frac{3 \times 5}{10 \times 5} , \frac{12}{50} =\frac{3}{10} , \frac{12}{54} \\ \rm \: therefore \ \frac{3}{10} , \frac{12}{50} \: are \: not \: equivalent.$

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$\rm \huge Question : - \\ \rm \: c. \: \frac{7}{13} , \frac{5}{11}$

$\rm \huge \: Solution : - \\ \\ \rm c. \: \frac{7}{13} , \frac{5}{11} = \frac{7 \times 11}{13\times 11} , \frac{5 \times 13}{11 \times 13} =\frac{77}{143} , \frac{65}{143} \\ \rm \: therefore \: \frac{7}{13} , \frac{5}{11} \: are \: not \: equivalent.$

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