Solve (-54/5)-21/4

$$( - 5 \frac { 4 } { 5 } ) - 2 \frac { 1 } { 4 }$$

Evaluate

$$-\frac{161}{20}=-8.05$$

Solution Steps

Multiply 5 and 5 to get 25.

$$-\frac{25+4}{5}-\frac{2\times 4+1}{4}$$

Add 25 and 4 to get 29.

$$-\frac{29}{5}-\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$-\frac{29}{5}-\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$-\frac{29}{5}-\frac{9}{4}$$

Least common multiple of 5 and 4 is 20. Convert -\frac{29}{5} and \frac{9}{4} to fractions with denominator 20.

$$-\frac{116}{20}-\frac{45}{20}$$

Since -\frac{116}{20} and \frac{45}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-116-45}{20}$$

Subtract 45 from -116 to get -161.

$$-\frac{161}{20}$$

Factor

$$-\frac{161}{20} = -8\frac{1}{20} = -8.05$$