Solve 13/4+25/16=

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

Evaluate

$$\frac{65}{16}=4.0625$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}+\frac{2\times 16+5}{16}$$

Add 4 and 3 to get 7.

$$\frac{7}{4}+\frac{2\times 16+5}{16}$$

Multiply 2 and 16 to get 32.

$$\frac{7}{4}+\frac{32+5}{16}$$

Add 32 and 5 to get 37.

$$\frac{7}{4}+\frac{37}{16}$$

Least common multiple of 4 and 16 is 16. Convert \frac{7}{4} and \frac{37}{16} to fractions with denominator 16.

$$\frac{28}{16}+\frac{37}{16}$$

Since \frac{28}{16} and \frac{37}{16} have the same denominator, add them by adding their numerators.

$$\frac{28+37}{16}$$

Add 28 and 37 to get 65.

$$\frac{65}{16}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {4}} = 4\frac{1}{16} = 4.0625$$