Solve 17/8*7/10*4

$$1 \frac { 7 } { 8 } \times \frac { 7 } { 10 } \times 4$$

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+7}{8}\times \frac{7}{10}\times 4$$

Add 8 and 7 to get 15.

$$\frac{15}{8}\times \frac{7}{10}\times 4$$

Multiply \frac{15}{8} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 7}{8\times 10}\times 4$$

Do the multiplications in the fraction \frac{15\times 7}{8\times 10}.

$$\frac{105}{80}\times 4$$

Reduce the fraction \frac{105}{80} to lowest terms by extracting and canceling out 5.

$$\frac{21}{16}\times 4$$

Express \frac{21}{16}\times 4 as a single fraction.

$$\frac{21\times 4}{16}$$

Multiply 21 and 4 to get 84.

$$\frac{84}{16}$$

Reduce the fraction \frac{84}{16} to lowest terms by extracting and canceling out 4.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$