Solve -5/8+1+5/34:8/17=

$$- \frac { 5 } { 8 } + 1 + \frac { 5 } { 34 } : \frac { 8 } { 17 } =$$

Evaluate

$$\frac{11}{16}=0.6875$$

Solution Steps

Convert 1 to fraction \frac{8}{8}.

$$-\frac{5}{8}+\frac{8}{8}+\frac{\frac{5}{34}}{\frac{8}{17}}$$

Since -\frac{5}{8} and \frac{8}{8} have the same denominator, add them by adding their numerators.

$$\frac{-5+8}{8}+\frac{\frac{5}{34}}{\frac{8}{17}}$$

Add -5 and 8 to get 3.

$$\frac{3}{8}+\frac{\frac{5}{34}}{\frac{8}{17}}$$

Divide \frac{5}{34} by \frac{8}{17} by multiplying \frac{5}{34} by the reciprocal of \frac{8}{17}.

$$\frac{3}{8}+\frac{5}{34}\times \frac{17}{8}$$

Multiply \frac{5}{34} times \frac{17}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}+\frac{5\times 17}{34\times 8}$$

Do the multiplications in the fraction \frac{5\times 17}{34\times 8}.

$$\frac{3}{8}+\frac{85}{272}$$

Reduce the fraction \frac{85}{272} to lowest terms by extracting and canceling out 17.

$$\frac{3}{8}+\frac{5}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{3}{8} and \frac{5}{16} to fractions with denominator 16.

$$\frac{6}{16}+\frac{5}{16}$$

Since \frac{6}{16} and \frac{5}{16} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{16}$$

Add 6 and 5 to get 11.

$$\frac{11}{16}$$

Factor

$$\frac{11}{2 ^ {4}} = 0.6875$$