Solve 10/270=(7/12)^3

$$\frac { 10 } { 270 } = ( \frac { 7 } { 12 } ) ^ { 3 }$$

Verify

Solution Steps

Reduce the fraction \frac{10}{270} to lowest terms by extracting and canceling out 10.

$$\frac{1}{27}=\left(\frac{7}{12}\right)^{3}$$

Calculate \frac{7}{12} to the power of 3 and get \frac{343}{1728}.

$$\frac{1}{27}=\frac{343}{1728}$$

Least common multiple of 27 and 1728 is 1728. Convert \frac{1}{27} and \frac{343}{1728} to fractions with denominator 1728.

$$\frac{64}{1728}=\frac{343}{1728}$$

Compare \frac{64}{1728} and \frac{343}{1728}.

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