Solve 123/8-9,25-0,8*3,6=

$$12 \frac { 3 } { 8 } - 9,25 - 0,8 \times 3,6 =$$

Evaluate

$$0,245$$

Solution Steps

Multiply 12 and 8 to get 96.

$$\frac{96+3}{8}-9,25-0,8\times 3,6$$

Add 96 and 3 to get 99.

$$\frac{99}{8}-9,25-0,8\times 3,6$$

Convert decimal number 9,25 to fraction \frac{925}{100}. Reduce the fraction \frac{925}{100} to lowest terms by extracting and canceling out 25.

$$\frac{99}{8}-\frac{37}{4}-0,8\times 3,6$$

Least common multiple of 8 and 4 is 8. Convert \frac{99}{8} and \frac{37}{4} to fractions with denominator 8.

$$\frac{99}{8}-\frac{74}{8}-0,8\times 3,6$$

Since \frac{99}{8} and \frac{74}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{99-74}{8}-0,8\times 3,6$$

Subtract 74 from 99 to get 25.

$$\frac{25}{8}-0,8\times 3,6$$

Multiply 0,8 and 3,6 to get 2,88.

$$\frac{25}{8}-2,88$$

Convert decimal number 2,88 to fraction \frac{288}{100}. Reduce the fraction \frac{288}{100} to lowest terms by extracting and canceling out 4.

$$\frac{25}{8}-\frac{72}{25}$$

Least common multiple of 8 and 25 is 200. Convert \frac{25}{8} and \frac{72}{25} to fractions with denominator 200.

$$\frac{625}{200}-\frac{576}{200}$$

Since \frac{625}{200} and \frac{576}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{625-576}{200}$$

Subtract 576 from 625 to get 49.

$$\frac{49}{200}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 0.245$$