Solve 15/16+33/4=

$$1 \frac { 5 } { 16 } + 3 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{81}{16}=5.0625$$

Solution Steps

Multiply 1 and 16 to get 16.

$$\frac{16+5}{16}+\frac{3\times 4+3}{4}$$

Add 16 and 5 to get 21.

$$\frac{21}{16}+\frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{21}{16}+\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{21}{16}+\frac{15}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{21}{16} and \frac{15}{4} to fractions with denominator 16.

$$\frac{21}{16}+\frac{60}{16}$$

Since \frac{21}{16} and \frac{60}{16} have the same denominator, add them by adding their numerators.

$$\frac{21+60}{16}$$

Add 21 and 60 to get 81.

$$\frac{81}{16}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {4}} = 5\frac{1}{16} = 5.0625$$