Solve 111/5+23/4?

$$11 \frac { 1 } { 5 } + 2 \frac { 3 } { 4 } ?$$

Evaluate

$$\frac{279}{20}=13.95$$

Solution Steps

Multiply 11 and 5 to get 55.

$$\frac{55+1}{5}+\frac{2\times 4+3}{4}$$

Add 55 and 1 to get 56.

$$\frac{56}{5}+\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{56}{5}+\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{56}{5}+\frac{11}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{56}{5} and \frac{11}{4} to fractions with denominator 20.

$$\frac{224}{20}+\frac{55}{20}$$

Since \frac{224}{20} and \frac{55}{20} have the same denominator, add them by adding their numerators.

$$\frac{224+55}{20}$$

Add 224 and 55 to get 279.

$$\frac{279}{20}$$

Factor

$$\frac{3 ^ {2} \cdot 31}{2 ^ {2} \cdot 5} = 13\frac{19}{20} = 13.95$$