Solve 3.15+(3/7+(-8/15))

$$3.15+( \frac{ 3 }{ 7 } +(- \frac{ 8 }{ 15 } ))$$

Evaluate

$$\frac{1279}{420}\approx 3.045238095$$

Solution Steps

Convert decimal number 3.15 to fraction \frac{315}{100}. Reduce the fraction \frac{315}{100} to lowest terms by extracting and canceling out 5.

$$\frac{63}{20}+\frac{3}{7}-\frac{8}{15}$$

Least common multiple of 20 and 7 is 140. Convert \frac{63}{20} and \frac{3}{7} to fractions with denominator 140.

$$\frac{441}{140}+\frac{60}{140}-\frac{8}{15}$$

Since \frac{441}{140} and \frac{60}{140} have the same denominator, add them by adding their numerators.

$$\frac{441+60}{140}-\frac{8}{15}$$

Add 441 and 60 to get 501.

$$\frac{501}{140}-\frac{8}{15}$$

Least common multiple of 140 and 15 is 420. Convert \frac{501}{140} and \frac{8}{15} to fractions with denominator 420.

$$\frac{1503}{420}-\frac{224}{420}$$

Since \frac{1503}{420} and \frac{224}{420} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1503-224}{420}$$

Subtract 224 from 1503 to get 1279.

$$\frac{1279}{420}$$

Factor

$$\frac{1279}{3 \cdot 5 \cdot 7 \cdot 2 ^ {2}} = 3\frac{19}{420} = 3.045238095238095$$