Solve f21/25+2/5-12/15

$$f \frac { 21 } { 25 } + \frac { 2 } { 5 } - \frac { 12 } { 15 }$$

Evaluate

$$\frac{21f}{25}-\frac{2}{5}$$

Solution Steps

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$f\times \frac{21}{25}+\frac{2}{5}-\frac{4}{5}$$

Since \frac{2}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$f\times \frac{21}{25}+\frac{2-4}{5}$$

Subtract 4 from 2 to get -2.

$$f\times \frac{21}{25}-\frac{2}{5}$$

Factor

$$\frac{21f-10}{25}$$

Solution Steps

Factor out \frac{1}{25}.

$$\frac{21f-10}{25}$$

Consider 21f+10-20. Multiply and combine like terms.

$$21f-10$$

Rewrite the complete factored expression.

$$\frac{21f-10}{25}$$