Solve 72/5-13/4=

$$7 \frac { 2 } { 5 } - 1 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{113}{20}=5.65$$

Solution Steps

Multiply 7 and 5 to get 35.

$$\frac{35+2}{5}-\frac{1\times 4+3}{4}$$

Add 35 and 2 to get 37.

$$\frac{37}{5}-\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{37}{5}-\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{37}{5}-\frac{7}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{37}{5} and \frac{7}{4} to fractions with denominator 20.

$$\frac{148}{20}-\frac{35}{20}$$

Since \frac{148}{20} and \frac{35}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{148-35}{20}$$

Subtract 35 from 148 to get 113.

$$\frac{113}{20}$$

Factor

$$\frac{113}{2 ^ {2} \cdot 5} = 5\frac{13}{20} = 5.65$$