Solve 1,875-11/4*6/5+21/8:3,4

$$1,875 - 1 \frac { 1 } { 4 } \cdot \frac { 6 } { 5 } + 2 \frac { 1 } { 8 } : 3,4$$

Evaluate

$$1$$

Solution Steps

Multiply 1 and 4 to get 4.

$$1,875-\frac{4+1}{4}\times \frac{6}{5}+\frac{\frac{2\times 8+1}{8}}{3,4}$$

Add 4 and 1 to get 5.

$$1,875-\frac{5}{4}\times \frac{6}{5}+\frac{\frac{2\times 8+1}{8}}{3,4}$$

Multiply \frac{5}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$1,875-\frac{5\times 6}{4\times 5}+\frac{\frac{2\times 8+1}{8}}{3,4}$$

Cancel out 5 in both numerator and denominator.

$$1,875-\frac{6}{4}+\frac{\frac{2\times 8+1}{8}}{3,4}$$

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

$$1,875-\frac{3}{2}+\frac{\frac{2\times 8+1}{8}}{3,4}$$

Convert decimal number 1,875 to fraction \frac{1875}{1000}. Reduce the fraction \frac{1875}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{15}{8}-\frac{3}{2}+\frac{\frac{2\times 8+1}{8}}{3,4}$$

Least common multiple of 8 and 2 is 8. Convert \frac{15}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{15}{8}-\frac{12}{8}+\frac{\frac{2\times 8+1}{8}}{3,4}$$

Since \frac{15}{8} and \frac{12}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-12}{8}+\frac{\frac{2\times 8+1}{8}}{3,4}$$

Subtract 12 from 15 to get 3.

$$\frac{3}{8}+\frac{\frac{2\times 8+1}{8}}{3,4}$$

Express \frac{\frac{2\times 8+1}{8}}{3,4} as a single fraction.

$$\frac{3}{8}+\frac{2\times 8+1}{8\times 3,4}$$

Multiply 2 and 8 to get 16.

$$\frac{3}{8}+\frac{16+1}{8\times 3,4}$$

Add 16 and 1 to get 17.

$$\frac{3}{8}+\frac{17}{8\times 3,4}$$

Multiply 8 and 3,4 to get 27,2.

$$\frac{3}{8}+\frac{17}{27,2}$$

Expand \frac{17}{27,2} by multiplying both numerator and the denominator by 10.

$$\frac{3}{8}+\frac{170}{272}$$

Reduce the fraction \frac{170}{272} to lowest terms by extracting and canceling out 34.

$$\frac{3}{8}+\frac{5}{8}$$

Since \frac{3}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{8}$$

Add 3 and 5 to get 8.

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

Divide 8 by 8 to get 1.

$$1$$

Factor

$$1$$