Solve (175/74-1,61)*11

$$( \frac { 175 } { 74 } - 1,61 ) \times 11$$

Evaluate

$$\frac{30723}{3700}\approx 8,303513514$$

Solution Steps

Convert decimal number 1,61 to fraction \frac{161}{100}.

$$\left(\frac{175}{74}-\frac{161}{100}\right)\times 11$$

Least common multiple of 74 and 100 is 3700. Convert \frac{175}{74} and \frac{161}{100} to fractions with denominator 3700.

$$\left(\frac{8750}{3700}-\frac{5957}{3700}\right)\times 11$$

Since \frac{8750}{3700} and \frac{5957}{3700} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8750-5957}{3700}\times 11$$

Subtract 5957 from 8750 to get 2793.

$$\frac{2793}{3700}\times 11$$

Express \frac{2793}{3700}\times 11 as a single fraction.

$$\frac{2793\times 11}{3700}$$

Multiply 2793 and 11 to get 30723.

$$\frac{30723}{3700}$$

Factor

$$\frac{3 \cdot 11 \cdot 19 \cdot 7 ^ {2}}{37 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 8\frac{1123}{3700} = 8.303513513513513$$