Solve 61/2+63/4=

$$6 \frac { 1 } { 2 } + 6 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{53}{4}=13.25$$

Solution Steps

Multiply 6 and 2 to get 12.

$$\frac{12+1}{2}+\frac{6\times 4+3}{4}$$

Add 12 and 1 to get 13.

$$\frac{13}{2}+\frac{6\times 4+3}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{13}{2}+\frac{24+3}{4}$$

Add 24 and 3 to get 27.

$$\frac{13}{2}+\frac{27}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{13}{2} and \frac{27}{4} to fractions with denominator 4.

$$\frac{26}{4}+\frac{27}{4}$$

Since \frac{26}{4} and \frac{27}{4} have the same denominator, add them by adding their numerators.

$$\frac{26+27}{4}$$

Add 26 and 27 to get 53.

$$\frac{53}{4}$$

Factor

$$\frac{53}{2 ^ {2}} = 13\frac{1}{4} = 13.25$$