Solve 53/8+91/24

$$5 \frac { 3 } { 8 } + 9 \frac { 1 } { 24 }$$

Evaluate

$$\frac{173}{12}\approx 14.416666667$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+3}{8}+\frac{9\times 24+1}{24}$$

Add 40 and 3 to get 43.

$$\frac{43}{8}+\frac{9\times 24+1}{24}$$

Multiply 9 and 24 to get 216.

$$\frac{43}{8}+\frac{216+1}{24}$$

Add 216 and 1 to get 217.

$$\frac{43}{8}+\frac{217}{24}$$

Least common multiple of 8 and 24 is 24. Convert \frac{43}{8} and \frac{217}{24} to fractions with denominator 24.

$$\frac{129}{24}+\frac{217}{24}$$

Since \frac{129}{24} and \frac{217}{24} have the same denominator, add them by adding their numerators.

$$\frac{129+217}{24}$$

Add 129 and 217 to get 346.

$$\frac{346}{24}$$

Reduce the fraction \frac{346}{24} to lowest terms by extracting and canceling out 2.

$$\frac{173}{12}$$

Factor

$$\frac{173}{2 ^ {2} \cdot 3} = 14\frac{5}{12} = 14.416666666666666$$