Solve 72*21/3-3.72*21/3=

$$72 \cdot 2 \frac { 1 } { 3 } - 3.72 \cdot 2 \frac { 1 } { 3 } =$$

Evaluate

$$159.32$$

Solution Steps

Multiply 2 and 3 to get 6.

$$72\times \frac{6+1}{3}-3.72\times \frac{2\times 3+1}{3}$$

Add 6 and 1 to get 7.

$$72\times \frac{7}{3}-3.72\times \frac{2\times 3+1}{3}$$

Express 72\times \frac{7}{3} as a single fraction.

$$\frac{72\times 7}{3}-3.72\times \frac{2\times 3+1}{3}$$

Multiply 72 and 7 to get 504.

$$\frac{504}{3}-3.72\times \frac{2\times 3+1}{3}$$

Divide 504 by 3 to get 168.

$$168-3.72\times \frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$168-3.72\times \frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$168-3.72\times \frac{7}{3}$$

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.

$$168-\frac{93}{25}\times \frac{7}{3}$$

Multiply \frac{93}{25} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$168-\frac{93\times 7}{25\times 3}$$

Do the multiplications in the fraction \frac{93\times 7}{25\times 3}.

$$168-\frac{651}{75}$$

Reduce the fraction \frac{651}{75} to lowest terms by extracting and canceling out 3.

$$168-\frac{217}{25}$$

Convert 168 to fraction \frac{4200}{25}.

$$\frac{4200}{25}-\frac{217}{25}$$

Since \frac{4200}{25} and \frac{217}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4200-217}{25}$$

Subtract 217 from 4200 to get 3983.

$$\frac{3983}{25}$$

Factor

$$\frac{7 \cdot 569}{5 ^ {2}} = 159\frac{8}{25} = 159.32$$