Solve .79-5/7+0.21

$$.79 - \frac { 5 } { 7 } + 0.21$$

Evaluate

$$\frac{2}{7}\approx 0.285714286$$

Solution Steps

Convert decimal number 0.79 to fraction \frac{79}{100}.

$$\frac{79}{100}-\frac{5}{7}+0.21$$

Least common multiple of 100 and 7 is 700. Convert \frac{79}{100} and \frac{5}{7} to fractions with denominator 700.

$$\frac{553}{700}-\frac{500}{700}+0.21$$

Since \frac{553}{700} and \frac{500}{700} have the same denominator, subtract them by subtracting their numerators.

$$\frac{553-500}{700}+0.21$$

Subtract 500 from 553 to get 53.

$$\frac{53}{700}+0.21$$

Convert decimal number 0.21 to fraction \frac{21}{100}.

$$\frac{53}{700}+\frac{21}{100}$$

Least common multiple of 700 and 100 is 700. Convert \frac{53}{700} and \frac{21}{100} to fractions with denominator 700.

$$\frac{53}{700}+\frac{147}{700}$$

Since \frac{53}{700} and \frac{147}{700} have the same denominator, add them by adding their numerators.

$$\frac{53+147}{700}$$

Add 53 and 147 to get 200.

$$\frac{200}{700}$$

Reduce the fraction \frac{200}{700} to lowest terms by extracting and canceling out 100.

$$\frac{2}{7}$$

Factor

$$\frac{2}{7} = 0.2857142857142857$$