Solve 17/8*4/5+3/4:1,5-0,5*1/4=

$$1 \frac { 7 } { 8 } \cdot \frac { 4 } { 5 } + \frac { 3 } { 4 } : 1,5 - 0,5 \cdot \frac { 1 } { 4 } =$$

Evaluate

$$1,875$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+7}{8}\times \frac{4}{5}+\frac{\frac{3}{4}}{1,5}-0,5\times \frac{1}{4}$$

Add 8 and 7 to get 15.

$$\frac{15}{8}\times \frac{4}{5}+\frac{\frac{3}{4}}{1,5}-0,5\times \frac{1}{4}$$

Multiply \frac{15}{8} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 4}{8\times 5}+\frac{\frac{3}{4}}{1,5}-0,5\times \frac{1}{4}$$

Do the multiplications in the fraction \frac{15\times 4}{8\times 5}.

$$\frac{60}{40}+\frac{\frac{3}{4}}{1,5}-0,5\times \frac{1}{4}$$

Reduce the fraction \frac{60}{40} to lowest terms by extracting and canceling out 20.

$$\frac{3}{2}+\frac{\frac{3}{4}}{1,5}-0,5\times \frac{1}{4}$$

Express \frac{\frac{3}{4}}{1,5} as a single fraction.

$$\frac{3}{2}+\frac{3}{4\times 1,5}-0,5\times \frac{1}{4}$$

Multiply 4 and 1,5 to get 6.

$$\frac{3}{2}+\frac{3}{6}-0,5\times \frac{1}{4}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}+\frac{1}{2}-0,5\times \frac{1}{4}$$

Since \frac{3}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{2}-0,5\times \frac{1}{4}$$

Add 3 and 1 to get 4.

$$\frac{4}{2}-0,5\times \frac{1}{4}$$

Divide 4 by 2 to get 2.

$$2-0,5\times \frac{1}{4}$$

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$2-\frac{1}{2}\times \frac{1}{4}$$

Multiply \frac{1}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$2-\frac{1\times 1}{2\times 4}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 4}.

$$2-\frac{1}{8}$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{16}{8}-\frac{1}{8}$$

Since \frac{16}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{8}$$

Subtract 1 from 16 to get 15.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$