Solve 51/5+(-61/10)

$$5 \frac { 1 } { 5 } + ( - 6 \frac { 1 } { 10 } )$$

Evaluate

$$-\frac{9}{10}=-0.9$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+1}{5}-\frac{6\times 10+1}{10}$$

Add 25 and 1 to get 26.

$$\frac{26}{5}-\frac{6\times 10+1}{10}$$

Multiply 6 and 10 to get 60.

$$\frac{26}{5}-\frac{60+1}{10}$$

Add 60 and 1 to get 61.

$$\frac{26}{5}-\frac{61}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{26}{5} and \frac{61}{10} to fractions with denominator 10.

$$\frac{52}{10}-\frac{61}{10}$$

Since \frac{52}{10} and \frac{61}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-61}{10}$$

Subtract 61 from 52 to get -9.

$$-\frac{9}{10}$$

Factor

$$-\frac{9}{10} = -0.9$$