Solve 1.25*(22/5-1/2)+11/4div2

$$1.25 \times ( 2 \frac { 2 } { 5 } - \frac { 1 } { 2 } ) + \frac { 11 } { 4 } \div 2$$

Evaluate

$$3.75$$

Solution Steps

Multiply 2 and 5 to get 10.

$$1.25\left(\frac{10+2}{5}-\frac{1}{2}\right)+\frac{\frac{11}{4}}{2}$$

Add 10 and 2 to get 12.

$$1.25\left(\frac{12}{5}-\frac{1}{2}\right)+\frac{\frac{11}{4}}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{12}{5} and \frac{1}{2} to fractions with denominator 10.

$$1.25\left(\frac{24}{10}-\frac{5}{10}\right)+\frac{\frac{11}{4}}{2}$$

Since \frac{24}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$1.25\times \frac{24-5}{10}+\frac{\frac{11}{4}}{2}$$

Subtract 5 from 24 to get 19.

$$1.25\times \frac{19}{10}+\frac{\frac{11}{4}}{2}$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{5}{4}\times \frac{19}{10}+\frac{\frac{11}{4}}{2}$$

Multiply \frac{5}{4} times \frac{19}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 19}{4\times 10}+\frac{\frac{11}{4}}{2}$$

Do the multiplications in the fraction \frac{5\times 19}{4\times 10}.

$$\frac{95}{40}+\frac{\frac{11}{4}}{2}$$

Reduce the fraction \frac{95}{40} to lowest terms by extracting and canceling out 5.

$$\frac{19}{8}+\frac{\frac{11}{4}}{2}$$

Express \frac{\frac{11}{4}}{2} as a single fraction.

$$\frac{19}{8}+\frac{11}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{19}{8}+\frac{11}{8}$$

Since \frac{19}{8} and \frac{11}{8} have the same denominator, add them by adding their numerators.

$$\frac{19+11}{8}$$

Add 19 and 11 to get 30.

$$\frac{30}{8}$$

Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$