Solve 379+1/7-0,12=

$$379 + \frac { 1 } { 7 } - 0,12 =$$

Evaluate

$$\frac{66329}{175}\approx 379,022857143$$

Solution Steps

Convert 379 to fraction \frac{2653}{7}.

$$\frac{2653}{7}+\frac{1}{7}-0,12$$

Since \frac{2653}{7} and \frac{1}{7} have the same denominator, add them by adding their numerators.

$$\frac{2653+1}{7}-0,12$$

Add 2653 and 1 to get 2654.

$$\frac{2654}{7}-0,12$$

Convert decimal number 0,12 to fraction \frac{12}{100}. Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{2654}{7}-\frac{3}{25}$$

Least common multiple of 7 and 25 is 175. Convert \frac{2654}{7} and \frac{3}{25} to fractions with denominator 175.

$$\frac{66350}{175}-\frac{21}{175}$$

Since \frac{66350}{175} and \frac{21}{175} have the same denominator, subtract them by subtracting their numerators.

$$\frac{66350-21}{175}$$

Subtract 21 from 66350 to get 66329.

$$\frac{66329}{175}$$

Factor

$$\frac{19 \cdot 3491}{7 \cdot 5 ^ {2}} = 379\frac{4}{175} = 379.02285714285716$$