Solve 37/3+455/8

$$3 \frac { 7 } { 3 } + 45 \frac { 5 } { 8 }$$

Evaluate

$$\frac{1223}{24}\approx 50.958333333$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+7}{3}+\frac{45\times 8+5}{8}$$

Add 9 and 7 to get 16.

$$\frac{16}{3}+\frac{45\times 8+5}{8}$$

Multiply 45 and 8 to get 360.

$$\frac{16}{3}+\frac{360+5}{8}$$

Add 360 and 5 to get 365.

$$\frac{16}{3}+\frac{365}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{16}{3} and \frac{365}{8} to fractions with denominator 24.

$$\frac{128}{24}+\frac{1095}{24}$$

Since \frac{128}{24} and \frac{1095}{24} have the same denominator, add them by adding their numerators.

$$\frac{128+1095}{24}$$

Add 128 and 1095 to get 1223.

$$\frac{1223}{24}$$

Factor

$$\frac{1223}{2 ^ {3} \cdot 3} = 50\frac{23}{24} = 50.958333333333336$$