Solve 2/5*7=quad(2)3/4*4=

$$\frac { 2 } { 5 } \times 7 = \quad ( 2 ) \frac { 3 } { 4 } \times 4 =$$

Verify

Solution Steps

Express \frac{2}{5}\times 7 as a single fraction.

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

Multiply 2 and 7 to get 14.

$$\frac{14}{5}=2\times \frac{3}{4}\times 4$$

Express 2\times \frac{3}{4} as a single fraction.

$$\frac{14}{5}=\frac{2\times 3}{4}\times 4$$

Multiply 2 and 3 to get 6.

$$\frac{14}{5}=\frac{6}{4}\times 4$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}=\frac{3}{2}\times 4$$

Express \frac{3}{2}\times 4 as a single fraction.

$$\frac{14}{5}=\frac{3\times 4}{2}$$

Multiply 3 and 4 to get 12.

$$\frac{14}{5}=\frac{12}{2}$$

Divide 12 by 2 to get 6.

$$\frac{14}{5}=6$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{14}{5}=\frac{30}{5}$$

Compare \frac{14}{5} and \frac{30}{5}.

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