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(4 + 2/9)/(1 + 1/6)

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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: $$\frac{76}{21}$$

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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. $$\frac{5}{4}$$

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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