Solve 15/8*1,6-12/3

$$1 \frac { 5 } { 8 } \cdot 1,6 - 1 \frac { 2 } { 3 }$$

Evaluate

$$\frac{14}{15}\approx 0,933333333$$

Solution Steps

Multiply 1 and 8 to get 8.

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

Add 8 and 5 to get 13.

$$\frac{13}{8}\times 1,6-\frac{1\times 3+2}{3}$$

Convert decimal number 1,6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{13}{8}\times \frac{8}{5}-\frac{1\times 3+2}{3}$$

Multiply \frac{13}{8} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 8}{8\times 5}-\frac{1\times 3+2}{3}$$

Cancel out 8 in both numerator and denominator.

$$\frac{13}{5}-\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{13}{5}-\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{13}{5}-\frac{5}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{13}{5} and \frac{5}{3} to fractions with denominator 15.

$$\frac{39}{15}-\frac{25}{15}$$

Since \frac{39}{15} and \frac{25}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-25}{15}$$

Subtract 25 from 39 to get 14.

$$\frac{14}{15}$$

Factor

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$