Solve 23/5-101/4

$$2 \frac { 3 } { 5 } - 10 \frac { 1 } { 4 }$$

Evaluate

$$-\frac{153}{20}=-7.65$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}-\frac{10\times 4+1}{4}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}-\frac{10\times 4+1}{4}$$

Multiply 10 and 4 to get 40.

$$\frac{13}{5}-\frac{40+1}{4}$$

Add 40 and 1 to get 41.

$$\frac{13}{5}-\frac{41}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{13}{5} and \frac{41}{4} to fractions with denominator 20.

$$\frac{52}{20}-\frac{205}{20}$$

Since \frac{52}{20} and \frac{205}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-205}{20}$$

Subtract 205 from 52 to get -153.

$$-\frac{153}{20}$$

Factor

$$-\frac{153}{20} = -7\frac{13}{20} = -7.65$$