Solve 55.1-(2.5*0.9-2.88div3.2)

$$55.1 - ( 2.5 \times 0.9 - 2.88 \div 3.2 )$$

Evaluate

$$53.75$$

Solution Steps

Multiply 2.5 and 0.9 to get 2.25.

$$55.1-\left(2.25-\frac{2.88}{3.2}\right)$$

Expand \frac{2.88}{3.2} by multiplying both numerator and the denominator by 100.

$$55.1-\left(2.25-\frac{288}{320}\right)$$

Reduce the fraction \frac{288}{320} to lowest terms by extracting and canceling out 32.

$$55.1-\left(2.25-\frac{9}{10}\right)$$

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$55.1-\left(\frac{9}{4}-\frac{9}{10}\right)$$

Least common multiple of 4 and 10 is 20. Convert \frac{9}{4} and \frac{9}{10} to fractions with denominator 20.

$$55.1-\left(\frac{45}{20}-\frac{18}{20}\right)$$

Since \frac{45}{20} and \frac{18}{20} have the same denominator, subtract them by subtracting their numerators.

$$55.1-\frac{45-18}{20}$$

Subtract 18 from 45 to get 27.

$$55.1-\frac{27}{20}$$

Convert decimal number 55.1 to fraction \frac{551}{10}.

$$\frac{551}{10}-\frac{27}{20}$$

Least common multiple of 10 and 20 is 20. Convert \frac{551}{10} and \frac{27}{20} to fractions with denominator 20.

$$\frac{1102}{20}-\frac{27}{20}$$

Since \frac{1102}{20} and \frac{27}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1102-27}{20}$$

Subtract 27 from 1102 to get 1075.

$$\frac{1075}{20}$$

Reduce the fraction \frac{1075}{20} to lowest terms by extracting and canceling out 5.

$$\frac{215}{4}$$

Factor

$$\frac{5 \cdot 43}{2 ^ {2}} = 53\frac{3}{4} = 53.75$$