Solve 10.79-5/7+0.21

$$10.79 - \frac { 5 } { 7 } + 0.21$$

Evaluate

$$\frac{72}{7}\approx 10.285714286$$

Solution Steps

Convert decimal number 10.79 to fraction \frac{1079}{100}.

$$\frac{1079}{100}-\frac{5}{7}+0.21$$

Least common multiple of 100 and 7 is 700. Convert \frac{1079}{100} and \frac{5}{7} to fractions with denominator 700.

$$\frac{7553}{700}-\frac{500}{700}+0.21$$

Since \frac{7553}{700} and \frac{500}{700} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7553-500}{700}+0.21$$

Subtract 500 from 7553 to get 7053.

$$\frac{7053}{700}+0.21$$

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

$$\frac{7053}{700}+\frac{21}{100}$$

Least common multiple of 700 and 100 is 700. Convert \frac{7053}{700} and \frac{21}{100} to fractions with denominator 700.

$$\frac{7053}{700}+\frac{147}{700}$$

Since \frac{7053}{700} and \frac{147}{700} have the same denominator, add them by adding their numerators.

$$\frac{7053+147}{700}$$

Add 7053 and 147 to get 7200.

$$\frac{7200}{700}$$

Reduce the fraction \frac{7200}{700} to lowest terms by extracting and canceling out 100.

$$\frac{72}{7}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2}}{7} = 10\frac{2}{7} = 10.285714285714286$$