Solve 56.32div51.2+48.8div61-(2.4-2.4*0.15)

$$56.32 \div 51.2+48.8 \div 61-(2.4-2.4 \times 0.15)$$

Evaluate

$$-0.14$$

Solution Steps

Expand \frac{56.32}{51.2} by multiplying both numerator and the denominator by 100.

$$\frac{5632}{5120}+\frac{48.8}{61}-\left(2.4-2.4\times 0.15\right)$$

Reduce the fraction \frac{5632}{5120} to lowest terms by extracting and canceling out 512.

$$\frac{11}{10}+\frac{48.8}{61}-\left(2.4-2.4\times 0.15\right)$$

Expand \frac{48.8}{61} by multiplying both numerator and the denominator by 10.

$$\frac{11}{10}+\frac{488}{610}-\left(2.4-2.4\times 0.15\right)$$

Reduce the fraction \frac{488}{610} to lowest terms by extracting and canceling out 122.

$$\frac{11}{10}+\frac{4}{5}-\left(2.4-2.4\times 0.15\right)$$

Least common multiple of 10 and 5 is 10. Convert \frac{11}{10} and \frac{4}{5} to fractions with denominator 10.

$$\frac{11}{10}+\frac{8}{10}-\left(2.4-2.4\times 0.15\right)$$

Since \frac{11}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.

$$\frac{11+8}{10}-\left(2.4-2.4\times 0.15\right)$$

Add 11 and 8 to get 19.

$$\frac{19}{10}-\left(2.4-2.4\times 0.15\right)$$

Multiply 2.4 and 0.15 to get 0.36.

$$\frac{19}{10}-\left(2.4-0.36\right)$$

Subtract 0.36 from 2.4 to get 2.04.

$$\frac{19}{10}-2.04$$

Convert decimal number 2.04 to fraction \frac{204}{100}. Reduce the fraction \frac{204}{100} to lowest terms by extracting and canceling out 4.

$$\frac{19}{10}-\frac{51}{25}$$

Least common multiple of 10 and 25 is 50. Convert \frac{19}{10} and \frac{51}{25} to fractions with denominator 50.

$$\frac{95}{50}-\frac{102}{50}$$

Since \frac{95}{50} and \frac{102}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{95-102}{50}$$

Subtract 102 from 95 to get -7.

$$-\frac{7}{50}$$

Factor

$$-0.14$$