Solve 21.08+21/5-12.90=

$$21.08 + 2 \frac { 1 } { 5 } - 12.90 =$$

Evaluate

$$10.38$$

Solution Steps

Multiply 2 and 5 to get 10.

$$21.08+\frac{10+1}{5}-12.9$$

Add 10 and 1 to get 11.

$$21.08+\frac{11}{5}-12.9$$

Convert decimal number 21.08 to fraction \frac{2108}{100}. Reduce the fraction \frac{2108}{100} to lowest terms by extracting and canceling out 4.

$$\frac{527}{25}+\frac{11}{5}-12.9$$

Least common multiple of 25 and 5 is 25. Convert \frac{527}{25} and \frac{11}{5} to fractions with denominator 25.

$$\frac{527}{25}+\frac{55}{25}-12.9$$

Since \frac{527}{25} and \frac{55}{25} have the same denominator, add them by adding their numerators.

$$\frac{527+55}{25}-12.9$$

Add 527 and 55 to get 582.

$$\frac{582}{25}-12.9$$

Convert decimal number 12.9 to fraction \frac{129}{10}.

$$\frac{582}{25}-\frac{129}{10}$$

Least common multiple of 25 and 10 is 50. Convert \frac{582}{25} and \frac{129}{10} to fractions with denominator 50.

$$\frac{1164}{50}-\frac{645}{50}$$

Since \frac{1164}{50} and \frac{645}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1164-645}{50}$$

Subtract 645 from 1164 to get 519.

$$\frac{519}{50}$$

Factor

$$\frac{3 \cdot 173}{2 \cdot 5 ^ {2}} = 10\frac{19}{50} = 10.38$$