Solve 31/8+42/3+51/4

$$3 \frac { 1 } { 8 } + 4 \frac { 2 } { 3 } + 5 \frac { 1 } { 4 }$$

Evaluate

$$\frac{313}{24}\approx 13.041666667$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+1}{8}+\frac{4\times 3+2}{3}+\frac{5\times 4+1}{4}$$

Add 24 and 1 to get 25.

$$\frac{25}{8}+\frac{4\times 3+2}{3}+\frac{5\times 4+1}{4}$$

Multiply 4 and 3 to get 12.

$$\frac{25}{8}+\frac{12+2}{3}+\frac{5\times 4+1}{4}$$

Add 12 and 2 to get 14.

$$\frac{25}{8}+\frac{14}{3}+\frac{5\times 4+1}{4}$$

Least common multiple of 8 and 3 is 24. Convert \frac{25}{8} and \frac{14}{3} to fractions with denominator 24.

$$\frac{75}{24}+\frac{112}{24}+\frac{5\times 4+1}{4}$$

Since \frac{75}{24} and \frac{112}{24} have the same denominator, add them by adding their numerators.

$$\frac{75+112}{24}+\frac{5\times 4+1}{4}$$

Add 75 and 112 to get 187.

$$\frac{187}{24}+\frac{5\times 4+1}{4}$$

Multiply 5 and 4 to get 20.

$$\frac{187}{24}+\frac{20+1}{4}$$

Add 20 and 1 to get 21.

$$\frac{187}{24}+\frac{21}{4}$$

Least common multiple of 24 and 4 is 24. Convert \frac{187}{24} and \frac{21}{4} to fractions with denominator 24.

$$\frac{187}{24}+\frac{126}{24}$$

Since \frac{187}{24} and \frac{126}{24} have the same denominator, add them by adding their numerators.

$$\frac{187+126}{24}$$

Add 187 and 126 to get 313.

$$\frac{313}{24}$$

Factor

$$\frac{313}{2 ^ {3} \cdot 3} = 13\frac{1}{24} = 13.041666666666666$$