Solve 4/19*71/8div1%

$$\frac { 4 } { 19 } \times 7 \frac { 1 } { 8 } \div 1 \%$$

Evaluate

$$150$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{\frac{4}{19}\times \frac{56+1}{8}}{\frac{1}{100}}$$

Add 56 and 1 to get 57.

$$\frac{\frac{4}{19}\times \frac{57}{8}}{\frac{1}{100}}$$

Multiply \frac{4}{19} times \frac{57}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4\times 57}{19\times 8}}{\frac{1}{100}}$$

Do the multiplications in the fraction \frac{4\times 57}{19\times 8}.

$$\frac{\frac{228}{152}}{\frac{1}{100}}$$

Reduce the fraction \frac{228}{152} to lowest terms by extracting and canceling out 76.

$$\frac{\frac{3}{2}}{\frac{1}{100}}$$

Divide \frac{3}{2} by \frac{1}{100} by multiplying \frac{3}{2} by the reciprocal of \frac{1}{100}.

$$\frac{3}{2}\times 100$$

Express \frac{3}{2}\times 100 as a single fraction.

$$\frac{3\times 100}{2}$$

Multiply 3 and 100 to get 300.

$$\frac{300}{2}$$

Divide 300 by 2 to get 150.

$$150$$

Factor

$$2\times 3\times 5^{2}$$