Solve 8/15+2/3-3/4quad1/71=

$$\frac { 8 } { 15 } + \frac { 2 } { 3 } - \frac { 3 } { 4 } \quad \frac { 1 } { 71 } =$$

Evaluate

$$\frac{1689}{1420}\approx 1.18943662$$

Solution Steps

Least common multiple of 15 and 3 is 15. Convert \frac{8}{15} and \frac{2}{3} to fractions with denominator 15.

$$\frac{8}{15}+\frac{10}{15}-\frac{3}{4}\times \frac{1}{71}$$

Since \frac{8}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{8+10}{15}-\frac{3}{4}\times \frac{1}{71}$$

Add 8 and 10 to get 18.

$$\frac{18}{15}-\frac{3}{4}\times \frac{1}{71}$$

Reduce the fraction \frac{18}{15} to lowest terms by extracting and canceling out 3.

$$\frac{6}{5}-\frac{3}{4}\times \frac{1}{71}$$

Multiply \frac{3}{4} times \frac{1}{71} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6}{5}-\frac{3\times 1}{4\times 71}$$

Do the multiplications in the fraction \frac{3\times 1}{4\times 71}.

$$\frac{6}{5}-\frac{3}{284}$$

Least common multiple of 5 and 284 is 1420. Convert \frac{6}{5} and \frac{3}{284} to fractions with denominator 1420.

$$\frac{1704}{1420}-\frac{15}{1420}$$

Since \frac{1704}{1420} and \frac{15}{1420} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1704-15}{1420}$$

Subtract 15 from 1704 to get 1689.

$$\frac{1689}{1420}$$

Factor

$$\frac{3 \cdot 563}{2 ^ {2} \cdot 5 \cdot 71} = 1\frac{269}{1420} = 1.18943661971831$$