Solve (32/5)(7/34)(33/4)=

$$( 3 \frac { 2 } { 5 } ) ( \frac { 7 } { 34 } ) ( 3 \frac { 3 } { 4 } ) =$$

Evaluate

$$\frac{21}{8}=2.625$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+2}{5}\times \frac{7}{34}\times \frac{3\times 4+3}{4}$$

Add 15 and 2 to get 17.

$$\frac{17}{5}\times \frac{7}{34}\times \frac{3\times 4+3}{4}$$

Multiply \frac{17}{5} times \frac{7}{34} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 7}{5\times 34}\times \frac{3\times 4+3}{4}$$

Do the multiplications in the fraction \frac{17\times 7}{5\times 34}.

$$\frac{119}{170}\times \frac{3\times 4+3}{4}$$

Reduce the fraction \frac{119}{170} to lowest terms by extracting and canceling out 17.

$$\frac{7}{10}\times \frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{7}{10}\times \frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{7}{10}\times \frac{15}{4}$$

Multiply \frac{7}{10} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 15}{10\times 4}$$

Do the multiplications in the fraction \frac{7\times 15}{10\times 4}.

$$\frac{105}{40}$$

Reduce the fraction \frac{105}{40} to lowest terms by extracting and canceling out 5.

$$\frac{21}{8}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {3}} = 2\frac{5}{8} = 2.625$$