Solve 37/16+51/3=

$$3 \frac { 7 } { 16 } + 5 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{421}{48}\approx 8.770833333$$

Solution Steps

Multiply 3 and 16 to get 48.

$$\frac{48+7}{16}+\frac{5\times 3+1}{3}$$

Add 48 and 7 to get 55.

$$\frac{55}{16}+\frac{5\times 3+1}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{55}{16}+\frac{15+1}{3}$$

Add 15 and 1 to get 16.

$$\frac{55}{16}+\frac{16}{3}$$

Least common multiple of 16 and 3 is 48. Convert \frac{55}{16} and \frac{16}{3} to fractions with denominator 48.

$$\frac{165}{48}+\frac{256}{48}$$

Since \frac{165}{48} and \frac{256}{48} have the same denominator, add them by adding their numerators.

$$\frac{165+256}{48}$$

Add 165 and 256 to get 421.

$$\frac{421}{48}$$

Factor

$$\frac{421}{2 ^ {4} \cdot 3} = 8\frac{37}{48} = 8.770833333333334$$