Solve 243/16+325/8

$$24 \frac { 3 } { 16 } + 32 \frac { 5 } { 8 }$$

Evaluate

$$\frac{909}{16}=56.8125$$

Solution Steps

Multiply 24 and 16 to get 384.

$$\frac{384+3}{16}+\frac{32\times 8+5}{8}$$

Add 384 and 3 to get 387.

$$\frac{387}{16}+\frac{32\times 8+5}{8}$$

Multiply 32 and 8 to get 256.

$$\frac{387}{16}+\frac{256+5}{8}$$

Add 256 and 5 to get 261.

$$\frac{387}{16}+\frac{261}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{387}{16} and \frac{261}{8} to fractions with denominator 16.

$$\frac{387}{16}+\frac{522}{16}$$

Since \frac{387}{16} and \frac{522}{16} have the same denominator, add them by adding their numerators.

$$\frac{387+522}{16}$$

Add 387 and 522 to get 909.

$$\frac{909}{16}$$

Factor

$$\frac{3 ^ {2} \cdot 101}{2 ^ {4}} = 56\frac{13}{16} = 56.8125$$