Solve 39.5-(157/2-59)*5/34

$$39.5 - ( \frac { 157 } { 2 } - 59 ) \times \frac { 5 } { 34 }$$

Evaluate

$$\frac{2491}{68}\approx 36.632352941$$

Solution Steps

Convert 59 to fraction \frac{118}{2}.

$$39.5-\left(\frac{157}{2}-\frac{118}{2}\right)\times \frac{5}{34}$$

Since \frac{157}{2} and \frac{118}{2} have the same denominator, subtract them by subtracting their numerators.

$$39.5-\frac{157-118}{2}\times \frac{5}{34}$$

Subtract 118 from 157 to get 39.

$$39.5-\frac{39}{2}\times \frac{5}{34}$$

Multiply \frac{39}{2} times \frac{5}{34} by multiplying numerator times numerator and denominator times denominator.

$$39.5-\frac{39\times 5}{2\times 34}$$

Do the multiplications in the fraction \frac{39\times 5}{2\times 34}.

$$39.5-\frac{195}{68}$$

Convert decimal number 39.5 to fraction \frac{395}{10}. Reduce the fraction \frac{395}{10} to lowest terms by extracting and canceling out 5.

$$\frac{79}{2}-\frac{195}{68}$$

Least common multiple of 2 and 68 is 68. Convert \frac{79}{2} and \frac{195}{68} to fractions with denominator 68.

$$\frac{2686}{68}-\frac{195}{68}$$

Since \frac{2686}{68} and \frac{195}{68} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2686-195}{68}$$

Subtract 195 from 2686 to get 2491.

$$\frac{2491}{68}$$

Factor

$$\frac{47 \cdot 53}{17 \cdot 2 ^ {2}} = 36\frac{43}{68} = 36.63235294117647$$