Solve 73/4-.32

$$7 \frac{ 3 }{ 4 } -.32$$

Evaluate

$$7.43$$

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{28+3}{4}-0.32$$

Add 28 and 3 to get 31.

$$\frac{31}{4}-0.32$$

Convert decimal number 0.32 to fraction \frac{32}{100}. Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.

$$\frac{31}{4}-\frac{8}{25}$$

Least common multiple of 4 and 25 is 100. Convert \frac{31}{4} and \frac{8}{25} to fractions with denominator 100.

$$\frac{775}{100}-\frac{32}{100}$$

Since \frac{775}{100} and \frac{32}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{775-32}{100}$$

Subtract 32 from 775 to get 743.

$$\frac{743}{100}$$

Factor

$$\frac{743}{2 ^ {2} \cdot 5 ^ {2}} = 7\frac{43}{100} = 7.43$$