Solve 31/4-23/5)div52/3+11/2)

$$3 \frac { 1 } { 4 } - 2 \frac { 3 } { 5 } ) \div 5 \frac { 2 } { 3 } + 1 \frac { 1 } { 2 } )$$

Evaluate

$$\frac{13}{20}=0.65$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+1}{4}-\frac{2\times 5+3}{5}$$

Add 12 and 1 to get 13.

$$\frac{13}{4}-\frac{2\times 5+3}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{13}{4}-\frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$\frac{13}{4}-\frac{13}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{13}{4} and \frac{13}{5} to fractions with denominator 20.

$$\frac{65}{20}-\frac{52}{20}$$

Since \frac{65}{20} and \frac{52}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-52}{20}$$

Subtract 52 from 65 to get 13.

$$\frac{13}{20}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 5} = 0.65$$