Solve 3.75-2.75div(20%*(5.75+4+1/4))

$$3.75-2.75 \div (20 \% \times (5.75+4+ \frac{ 1 }{ 4 } ))$$

Evaluate

$$2.375$$

Solution Steps

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$3.75-\frac{2.75}{\frac{1}{5}\left(5.75+4+\frac{1}{4}\right)}$$

Add 5.75 and 4 to get 9.75.

$$3.75-\frac{2.75}{\frac{1}{5}\left(9.75+\frac{1}{4}\right)}$$

Convert decimal number 9.75 to fraction \frac{975}{100}. Reduce the fraction \frac{975}{100} to lowest terms by extracting and canceling out 25.

$$3.75-\frac{2.75}{\frac{1}{5}\left(\frac{39}{4}+\frac{1}{4}\right)}$$

Since \frac{39}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$3.75-\frac{2.75}{\frac{1}{5}\times \frac{39+1}{4}}$$

Add 39 and 1 to get 40.

$$3.75-\frac{2.75}{\frac{1}{5}\times \frac{40}{4}}$$

Divide 40 by 4 to get 10.

$$3.75-\frac{2.75}{\frac{1}{5}\times 10}$$

Multiply \frac{1}{5} and 10 to get \frac{10}{5}.

$$3.75-\frac{2.75}{\frac{10}{5}}$$

Divide 10 by 5 to get 2.

$$3.75-\frac{2.75}{2}$$

Expand \frac{2.75}{2} by multiplying both numerator and the denominator by 100.

$$3.75-\frac{275}{200}$$

Reduce the fraction \frac{275}{200} to lowest terms by extracting and canceling out 25.

$$3.75-\frac{11}{8}$$

Convert decimal number 3.75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{15}{4}-\frac{11}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{15}{4} and \frac{11}{8} to fractions with denominator 8.

$$\frac{30}{8}-\frac{11}{8}$$

Since \frac{30}{8} and \frac{11}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-11}{8}$$

Subtract 11 from 30 to get 19.

$$\frac{19}{8}$$

Factor

$$\frac{19}{2 ^ {3}} = 2\frac{3}{8} = 2.375$$