Solve 3.72*51/2-73/4div3.1

$$3.72 \times 5 \frac { 1 } { 2 } - 7 \frac { 3 } { 4 } \div 3.1$$

Evaluate

$$17.96$$

Solution Steps

Multiply 5 and 2 to get 10.

$$3.72\times \frac{10+1}{2}-\frac{\frac{7\times 4+3}{4}}{3.1}$$

Add 10 and 1 to get 11.

$$3.72\times \frac{11}{2}-\frac{\frac{7\times 4+3}{4}}{3.1}$$

Convert decimal number 3.72 to fraction \frac{372}{100}. Reduce the fraction \frac{372}{100} to lowest terms by extracting and canceling out 4.

$$\frac{93}{25}\times \frac{11}{2}-\frac{\frac{7\times 4+3}{4}}{3.1}$$

Multiply \frac{93}{25} times \frac{11}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{93\times 11}{25\times 2}-\frac{\frac{7\times 4+3}{4}}{3.1}$$

Do the multiplications in the fraction \frac{93\times 11}{25\times 2}.

$$\frac{1023}{50}-\frac{\frac{7\times 4+3}{4}}{3.1}$$

Express \frac{\frac{7\times 4+3}{4}}{3.1} as a single fraction.

$$\frac{1023}{50}-\frac{7\times 4+3}{4\times 3.1}$$

Multiply 7 and 4 to get 28.

$$\frac{1023}{50}-\frac{28+3}{4\times 3.1}$$

Add 28 and 3 to get 31.

$$\frac{1023}{50}-\frac{31}{4\times 3.1}$$

Multiply 4 and 3.1 to get 12.4.

$$\frac{1023}{50}-\frac{31}{12.4}$$

Expand \frac{31}{12.4} by multiplying both numerator and the denominator by 10.

$$\frac{1023}{50}-\frac{310}{124}$$

Reduce the fraction \frac{310}{124} to lowest terms by extracting and canceling out 62.

$$\frac{1023}{50}-\frac{5}{2}$$

Least common multiple of 50 and 2 is 50. Convert \frac{1023}{50} and \frac{5}{2} to fractions with denominator 50.

$$\frac{1023}{50}-\frac{125}{50}$$

Since \frac{1023}{50} and \frac{125}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1023-125}{50}$$

Subtract 125 from 1023 to get 898.

$$\frac{898}{50}$$

Reduce the fraction \frac{898}{50} to lowest terms by extracting and canceling out 2.

$$\frac{449}{25}$$

Factor

$$\frac{449}{5 ^ {2}} = 17\frac{24}{25} = 17.96$$