Solve 5/6*8/9=6/8*7/8=

$$\frac { 5 } { 6 } \times \frac { 8 } { 9 } = \frac { 6 } { 8 } \times \frac { 7 } { 8 } =$$

Verify

Solution Steps

Multiply \frac{5}{6} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 8}{6\times 9}=\frac{6}{8}\times \frac{7}{8}$$

Do the multiplications in the fraction \frac{5\times 8}{6\times 9}.

$$\frac{40}{54}=\frac{6}{8}\times \frac{7}{8}$$

Reduce the fraction \frac{40}{54} to lowest terms by extracting and canceling out 2.

$$\frac{20}{27}=\frac{6}{8}\times \frac{7}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{20}{27}=\frac{3}{4}\times \frac{7}{8}$$

Multiply \frac{3}{4} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20}{27}=\frac{3\times 7}{4\times 8}$$

Do the multiplications in the fraction \frac{3\times 7}{4\times 8}.

$$\frac{20}{27}=\frac{21}{32}$$

Least common multiple of 27 and 32 is 864. Convert \frac{20}{27} and \frac{21}{32} to fractions with denominator 864.

$$\frac{640}{864}=\frac{567}{864}$$

Compare \frac{640}{864} and \frac{567}{864}.

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