Solve 141/16+33/4

$$14 \frac { 1 } { 16 } + 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{285}{16}=17.8125$$

Solution Steps

Multiply 14 and 16 to get 224.

$$\frac{224+1}{16}+\frac{3\times 4+3}{4}$$

Add 224 and 1 to get 225.

$$\frac{225}{16}+\frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{225}{16}+\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{225}{16}+\frac{15}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{225}{16} and \frac{15}{4} to fractions with denominator 16.

$$\frac{225}{16}+\frac{60}{16}$$

Since \frac{225}{16} and \frac{60}{16} have the same denominator, add them by adding their numerators.

$$\frac{225+60}{16}$$

Add 225 and 60 to get 285.

$$\frac{285}{16}$$

Factor

$$\frac{3 \cdot 5 \cdot 19}{2 ^ {4}} = 17\frac{13}{16} = 17.8125$$