Solve 201/4+25/16

$$20 \frac { 1 } { 4 } + 2 \frac { 5 } { 16 }$$

Evaluate

$$\frac{361}{16}=22.5625$$

Solution Steps

Multiply 20 and 4 to get 80.

$$\frac{80+1}{4}+\frac{2\times 16+5}{16}$$

Add 80 and 1 to get 81.

$$\frac{81}{4}+\frac{2\times 16+5}{16}$$

Multiply 2 and 16 to get 32.

$$\frac{81}{4}+\frac{32+5}{16}$$

Add 32 and 5 to get 37.

$$\frac{81}{4}+\frac{37}{16}$$

Least common multiple of 4 and 16 is 16. Convert \frac{81}{4} and \frac{37}{16} to fractions with denominator 16.

$$\frac{324}{16}+\frac{37}{16}$$

Since \frac{324}{16} and \frac{37}{16} have the same denominator, add them by adding their numerators.

$$\frac{324+37}{16}$$

Add 324 and 37 to get 361.

$$\frac{361}{16}$$

Factor

$$\frac{19 ^ {2}}{2 ^ {4}} = 22\frac{9}{16} = 22.5625$$