Solve 5.4-2div1/10+1/8

$$5.4-2 \div \frac{ 1 }{ 10 } + \frac{ 1 }{ 8 }$$

Evaluate

$$-14.475$$

Solution Steps

Divide 2 by \frac{1}{10} by multiplying 2 by the reciprocal of \frac{1}{10}.

$$5.4-2\times 10+\frac{1}{8}$$

Multiply 2 and 10 to get 20.

$$5.4-20+\frac{1}{8}$$

Subtract 20 from 5.4 to get -14.6.

$$-14.6+\frac{1}{8}$$

Convert decimal number -14.6 to fraction -\frac{146}{10}. Reduce the fraction -\frac{146}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{73}{5}+\frac{1}{8}$$

Least common multiple of 5 and 8 is 40. Convert -\frac{73}{5} and \frac{1}{8} to fractions with denominator 40.

$$-\frac{584}{40}+\frac{5}{40}$$

Since -\frac{584}{40} and \frac{5}{40} have the same denominator, add them by adding their numerators.

$$\frac{-584+5}{40}$$

Add -584 and 5 to get -579.

$$-\frac{579}{40}$$

Factor

$$-14.475$$