Solve 315,9+10/4*9,6-4,17:2

$$315,9 + \frac { 10 } { 4 } \cdot 9,6 - 4,17 : 2$$

Evaluate

$$337,815$$

Solution Steps

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$315,9+\frac{5}{2}\times 9,6-\frac{4,17}{2}$$

Convert decimal number 9,6 to fraction \frac{96}{10}. Reduce the fraction \frac{96}{10} to lowest terms by extracting and canceling out 2.

$$315,9+\frac{5}{2}\times \frac{48}{5}-\frac{4,17}{2}$$

Multiply \frac{5}{2} times \frac{48}{5} by multiplying numerator times numerator and denominator times denominator.

$$315,9+\frac{5\times 48}{2\times 5}-\frac{4,17}{2}$$

Cancel out 5 in both numerator and denominator.

$$315,9+\frac{48}{2}-\frac{4,17}{2}$$

Divide 48 by 2 to get 24.

$$315,9+24-\frac{4,17}{2}$$

Add 315,9 and 24 to get 339,9.

$$339,9-\frac{4,17}{2}$$

Expand \frac{4,17}{2} by multiplying both numerator and the denominator by 100.

$$339,9-\frac{417}{200}$$

Convert decimal number 339,9 to fraction \frac{3399}{10}.

$$\frac{3399}{10}-\frac{417}{200}$$

Least common multiple of 10 and 200 is 200. Convert \frac{3399}{10} and \frac{417}{200} to fractions with denominator 200.

$$\frac{67980}{200}-\frac{417}{200}$$

Since \frac{67980}{200} and \frac{417}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{67980-417}{200}$$

Subtract 417 from 67980 to get 67563.

$$\frac{67563}{200}$$

Factor

$$\frac{7507 \cdot 3 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 337\frac{163}{200} = 337.815$$