Solve 151/2+72/3-91/4

$$15 \frac{ 1 }{ 2 } +7 \frac{ 2 }{ 3 } -9 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{167}{12}\approx 13.916666667$$

Solution Steps

Multiply 15 and 2 to get 30.

$$\frac{30+1}{2}+\frac{7\times 3+2}{3}-\frac{9\times 4+1}{4}$$

Add 30 and 1 to get 31.

$$\frac{31}{2}+\frac{7\times 3+2}{3}-\frac{9\times 4+1}{4}$$

Multiply 7 and 3 to get 21.

$$\frac{31}{2}+\frac{21+2}{3}-\frac{9\times 4+1}{4}$$

Add 21 and 2 to get 23.

$$\frac{31}{2}+\frac{23}{3}-\frac{9\times 4+1}{4}$$

Least common multiple of 2 and 3 is 6. Convert \frac{31}{2} and \frac{23}{3} to fractions with denominator 6.

$$\frac{93}{6}+\frac{46}{6}-\frac{9\times 4+1}{4}$$

Since \frac{93}{6} and \frac{46}{6} have the same denominator, add them by adding their numerators.

$$\frac{93+46}{6}-\frac{9\times 4+1}{4}$$

Add 93 and 46 to get 139.

$$\frac{139}{6}-\frac{9\times 4+1}{4}$$

Multiply 9 and 4 to get 36.

$$\frac{139}{6}-\frac{36+1}{4}$$

Add 36 and 1 to get 37.

$$\frac{139}{6}-\frac{37}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{139}{6} and \frac{37}{4} to fractions with denominator 12.

$$\frac{278}{12}-\frac{111}{12}$$

Since \frac{278}{12} and \frac{111}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{278-111}{12}$$

Subtract 111 from 278 to get 167.

$$\frac{167}{12}$$

Factor

$$\frac{167}{2 ^ {2} \cdot 3} = 13\frac{11}{12} = 13.916666666666666$$