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Re: (4 + 2/9)/(1 + 1/6) [#permalink]
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Bunuel wrote:
\(\frac{4+\frac{2}{9}}{1+\frac{1}{6}}\)


A. \(\frac{133}{27}\)

B. \(\frac{76}{21}\)

C. \(\frac{44}{16}\)

D. \(\frac{28}{11}\)

E. \(\frac{5}{4}\)


Key property: We can create an equivalent fraction by multiplying the numerator and denominator by the same value
Since 18 is the least common multiple of 9 and 6, we can quickly eliminate the fractions within the main fraction.

Take: \(\frac{4+\frac{2}{9}}{1+\frac{1}{6}}\)

Multiply numerator and denominator by 18 to get: \(\frac{72+4}{18+3}\)

Simplify: \(\frac{76}{21}\)

Answer: B
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Re: (4 + 2/9)/(1 + 1/6) [#permalink]
Bunuel wrote:
\(\frac{4+\frac{2}{9}}{1+\frac{1}{6}}\)


A. \(\frac{133}{27}\)

B. \(\frac{76}{21}\)

C. \(\frac{44}{16}\)

D. \(\frac{28}{11}\)

E. \(\frac{5}{4}\)


Answer B

36+2/9 /6+1/6

38/9 / 7/6 = 38/9 * 6/7 = 76/21
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Re: (4 + 2/9)/(1 + 1/6) [#permalink]
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Re: (4 + 2/9)/(1 + 1/6) [#permalink]
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