Pergunta

Simplify. Write your answer as a proper or improper fraction in simplest form. (frac (46)/(37))((5)/(9))=(square )/(square )
Solução

4.2310 Voting

MargotElite · Tutor por 8 anos
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To simplify the given expression, we need to divide the fraction $\frac{46}{37}$ by the fraction $\frac{5}{9}$.<br /><br />To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator.<br /><br />So, the reciprocal of $\frac{5}{9}$ is $\frac{9}{5}$.<br /><br />Now, we can rewrite the given expression as:<br /><br />$\frac{\frac{46}{37}}{\frac{5}{9}} = \frac{46}{37} \times \frac{9}{5}$<br /><br />To multiply fractions, we multiply the numerators together and the denominators together.<br /><br />$\frac{46}{37} \times \frac{9}{5} = \frac{46 \times 9}{37 \times 5} = \frac{414}{185}$<br /><br />Therefore, the simplified form of the given expression is $\frac{414}{185}$.
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