Solve 8-1/2+4.2/5-3/10

$$8 - \frac { 1 } { 2 } + \frac { 4.2 } { 5 } - \frac { 3 } { 10 }$$

Evaluate

$$8.04$$

Solution Steps

Convert 8 to fraction \frac{16}{2}.

$$\frac{16}{2}-\frac{1}{2}+\frac{4.2}{5}-\frac{3}{10}$$

Since \frac{16}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{2}+\frac{4.2}{5}-\frac{3}{10}$$

Subtract 1 from 16 to get 15.

$$\frac{15}{2}+\frac{4.2}{5}-\frac{3}{10}$$

Expand \frac{4.2}{5} by multiplying both numerator and the denominator by 10.

$$\frac{15}{2}+\frac{42}{50}-\frac{3}{10}$$

Reduce the fraction \frac{42}{50} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}+\frac{21}{25}-\frac{3}{10}$$

Least common multiple of 2 and 25 is 50. Convert \frac{15}{2} and \frac{21}{25} to fractions with denominator 50.

$$\frac{375}{50}+\frac{42}{50}-\frac{3}{10}$$

Since \frac{375}{50} and \frac{42}{50} have the same denominator, add them by adding their numerators.

$$\frac{375+42}{50}-\frac{3}{10}$$

Add 375 and 42 to get 417.

$$\frac{417}{50}-\frac{3}{10}$$

Least common multiple of 50 and 10 is 50. Convert \frac{417}{50} and \frac{3}{10} to fractions with denominator 50.

$$\frac{417}{50}-\frac{15}{50}$$

Since \frac{417}{50} and \frac{15}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{417-15}{50}$$

Subtract 15 from 417 to get 402.

$$\frac{402}{50}$$

Reduce the fraction \frac{402}{50} to lowest terms by extracting and canceling out 2.

$$\frac{201}{25}$$

Factor

$$\frac{3 \cdot 67}{5 ^ {2}} = 8\frac{1}{25} = 8.04$$