Solve 39/8+13/17-16/34*3/5=?

$$\frac { 39 } { 8 } + \frac { 13 } { 17 } - \frac { 16 } { 34 } \times \frac { 3 } { 5 } = ?$$

Evaluate

$$\frac{3643}{680}\approx 5.357352941$$

Solution Steps

Least common multiple of 8 and 17 is 136. Convert \frac{39}{8} and \frac{13}{17} to fractions with denominator 136.

$$\frac{663}{136}+\frac{104}{136}-\frac{16}{34}\times \frac{3}{5}$$

Since \frac{663}{136} and \frac{104}{136} have the same denominator, add them by adding their numerators.

$$\frac{663+104}{136}-\frac{16}{34}\times \frac{3}{5}$$

Add 663 and 104 to get 767.

$$\frac{767}{136}-\frac{16}{34}\times \frac{3}{5}$$

Reduce the fraction \frac{16}{34} to lowest terms by extracting and canceling out 2.

$$\frac{767}{136}-\frac{8}{17}\times \frac{3}{5}$$

Multiply \frac{8}{17} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{767}{136}-\frac{8\times 3}{17\times 5}$$

Do the multiplications in the fraction \frac{8\times 3}{17\times 5}.

$$\frac{767}{136}-\frac{24}{85}$$

Least common multiple of 136 and 85 is 680. Convert \frac{767}{136} and \frac{24}{85} to fractions with denominator 680.

$$\frac{3835}{680}-\frac{192}{680}$$

Since \frac{3835}{680} and \frac{192}{680} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3835-192}{680}$$

Subtract 192 from 3835 to get 3643.

$$\frac{3643}{680}$$

Factor

$$\frac{3643}{2 ^ {3} \cdot 5 \cdot 17} = 5\frac{243}{680} = 5.357352941176471$$