Solve (-5(-5/7*7(3*0.3)-10)+0.18div18-10)

$$(-5(- \frac{ 5 }{ 7 } \times 7(3 \times 0.3)-10)+0.18 \div 18-10)$$

Evaluate

$$62.51$$

Solution Steps

Cancel out 7 and 7.

$$-5\left(-5\times 3\times 0.3-10\right)+\frac{0.18}{18}-10$$

Multiply -5 and 3 to get -15.

$$-5\left(-15\times 0.3-10\right)+\frac{0.18}{18}-10$$

Multiply -15 and 0.3 to get -4.5.

$$-5\left(-4.5-10\right)+\frac{0.18}{18}-10$$

Subtract 10 from -4.5 to get -14.5.

$$-5\left(-14.5\right)+\frac{0.18}{18}-10$$

Multiply -5 and -14.5 to get 72.5.

$$72.5+\frac{0.18}{18}-10$$

Expand \frac{0.18}{18} by multiplying both numerator and the denominator by 100.

$$72.5+\frac{18}{1800}-10$$

Reduce the fraction \frac{18}{1800} to lowest terms by extracting and canceling out 18.

$$72.5+\frac{1}{100}-10$$

Convert decimal number 72.5 to fraction \frac{725}{10}. Reduce the fraction \frac{725}{10} to lowest terms by extracting and canceling out 5.

$$\frac{145}{2}+\frac{1}{100}-10$$

Least common multiple of 2 and 100 is 100. Convert \frac{145}{2} and \frac{1}{100} to fractions with denominator 100.

$$\frac{7250}{100}+\frac{1}{100}-10$$

Since \frac{7250}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$\frac{7250+1}{100}-10$$

Add 7250 and 1 to get 7251.

$$\frac{7251}{100}-10$$

Convert 10 to fraction \frac{1000}{100}.

$$\frac{7251}{100}-\frac{1000}{100}$$

Since \frac{7251}{100} and \frac{1000}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7251-1000}{100}$$

Subtract 1000 from 7251 to get 6251.

$$\frac{6251}{100}$$

Factor

$$\frac{7 \cdot 19 \cdot 47}{2 ^ {2} \cdot 5 ^ {2}} = 62\frac{51}{100} = 62.51$$