Solve 2(15,4+3)/3-(15,4-3)/4

$$\frac { 2 ( 15,4 + 3 ) } { 3 } - \frac { ( 15,4 - 3 ) } { 4 }$$

Evaluate

$$\frac{55}{6}\approx 9,166666667$$

Solution Steps

Add 15,4 and 3 to get 18,4.

$$\frac{2\times 18,4}{3}-\frac{15,4-3}{4}$$

Multiply 2 and 18,4 to get 36,8.

$$\frac{36,8}{3}-\frac{15,4-3}{4}$$

Expand \frac{36,8}{3} by multiplying both numerator and the denominator by 10.

$$\frac{368}{30}-\frac{15,4-3}{4}$$

Reduce the fraction \frac{368}{30} to lowest terms by extracting and canceling out 2.

$$\frac{184}{15}-\frac{15,4-3}{4}$$

Subtract 3 from 15,4 to get 12,4.

$$\frac{184}{15}-\frac{12,4}{4}$$

Expand \frac{12,4}{4} by multiplying both numerator and the denominator by 10.

$$\frac{184}{15}-\frac{124}{40}$$

Reduce the fraction \frac{124}{40} to lowest terms by extracting and canceling out 4.

$$\frac{184}{15}-\frac{31}{10}$$

Least common multiple of 15 and 10 is 30. Convert \frac{184}{15} and \frac{31}{10} to fractions with denominator 30.

$$\frac{368}{30}-\frac{93}{30}$$

Since \frac{368}{30} and \frac{93}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{368-93}{30}$$

Subtract 93 from 368 to get 275.

$$\frac{275}{30}$$

Reduce the fraction \frac{275}{30} to lowest terms by extracting and canceling out 5.

$$\frac{55}{6}$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 3} = 9\frac{1}{6} = 9.166666666666666$$