Solve 53/8+191/4+232/3

$$5 \frac { 3 } { 8 } + 19 \frac { 1 } { 4 } + 23 \frac { 2 } { 3 }$$

Evaluate

$$\frac{1159}{24}\approx 48.291666667$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+3}{8}+\frac{19\times 4+1}{4}+\frac{23\times 3+2}{3}$$

Add 40 and 3 to get 43.

$$\frac{43}{8}+\frac{19\times 4+1}{4}+\frac{23\times 3+2}{3}$$

Multiply 19 and 4 to get 76.

$$\frac{43}{8}+\frac{76+1}{4}+\frac{23\times 3+2}{3}$$

Add 76 and 1 to get 77.

$$\frac{43}{8}+\frac{77}{4}+\frac{23\times 3+2}{3}$$

Least common multiple of 8 and 4 is 8. Convert \frac{43}{8} and \frac{77}{4} to fractions with denominator 8.

$$\frac{43}{8}+\frac{154}{8}+\frac{23\times 3+2}{3}$$

Since \frac{43}{8} and \frac{154}{8} have the same denominator, add them by adding their numerators.

$$\frac{43+154}{8}+\frac{23\times 3+2}{3}$$

Add 43 and 154 to get 197.

$$\frac{197}{8}+\frac{23\times 3+2}{3}$$

Multiply 23 and 3 to get 69.

$$\frac{197}{8}+\frac{69+2}{3}$$

Add 69 and 2 to get 71.

$$\frac{197}{8}+\frac{71}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{197}{8} and \frac{71}{3} to fractions with denominator 24.

$$\frac{591}{24}+\frac{568}{24}$$

Since \frac{591}{24} and \frac{568}{24} have the same denominator, add them by adding their numerators.

$$\frac{591+568}{24}$$

Add 591 and 568 to get 1159.

$$\frac{1159}{24}$$

Factor

$$\frac{19 \cdot 61}{2 ^ {3} \cdot 3} = 48\frac{7}{24} = 48.291666666666664$$