Solve 4/6*16/5+17/8=

$$\frac { 4 } { 6 } \times \frac { 16 } { 5 } + \frac { 17 } { 8 } =$$

Evaluate

$$\frac{511}{120}\approx 4.258333333$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}\times \frac{16}{5}+\frac{17}{8}$$

Multiply \frac{2}{3} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 16}{3\times 5}+\frac{17}{8}$$

Do the multiplications in the fraction \frac{2\times 16}{3\times 5}.

$$\frac{32}{15}+\frac{17}{8}$$

Least common multiple of 15 and 8 is 120. Convert \frac{32}{15} and \frac{17}{8} to fractions with denominator 120.

$$\frac{256}{120}+\frac{255}{120}$$

Since \frac{256}{120} and \frac{255}{120} have the same denominator, add them by adding their numerators.

$$\frac{256+255}{120}$$

Add 256 and 255 to get 511.

$$\frac{511}{120}$$

Factor

$$\frac{7 \cdot 73}{2 ^ {3} \cdot 3 \cdot 5} = 4\frac{31}{120} = 4.258333333333334$$