Solve 2/3:3/4=5/7:20

$$\frac { 2 } { 3 } : \frac { 3 } { 4 } = \frac { 5 } { 7 } : 20$$

Verify

Solution Steps

Divide \frac{2}{3} by \frac{3}{4} by multiplying \frac{2}{3} by the reciprocal of \frac{3}{4}.

$$\frac{2}{3}\times \frac{4}{3}=\frac{\frac{5}{7}}{20}$$

Multiply \frac{2}{3} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{3\times 3}=\frac{\frac{5}{7}}{20}$$

Do the multiplications in the fraction \frac{2\times 4}{3\times 3}.

$$\frac{8}{9}=\frac{\frac{5}{7}}{20}$$

Express \frac{\frac{5}{7}}{20} as a single fraction.

$$\frac{8}{9}=\frac{5}{7\times 20}$$

Multiply 7 and 20 to get 140.

$$\frac{8}{9}=\frac{5}{140}$$

Reduce the fraction \frac{5}{140} to lowest terms by extracting and canceling out 5.

$$\frac{8}{9}=\frac{1}{28}$$

Least common multiple of 9 and 28 is 252. Convert \frac{8}{9} and \frac{1}{28} to fractions with denominator 252.

$$\frac{224}{252}=\frac{9}{252}$$

Compare \frac{224}{252} and \frac{9}{252}.

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