Solve 4/5+3/4+12/20=

$$\frac { 4 } { 5 } + \frac { 3 } { 4 } + \frac { 12 } { 20 } =$$

Evaluate

$$\frac{43}{20}=2.15$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{4}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{16}{20}+\frac{15}{20}+\frac{12}{20}$$

Since \frac{16}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{16+15}{20}+\frac{12}{20}$$

Add 16 and 15 to get 31.

$$\frac{31}{20}+\frac{12}{20}$$

Since \frac{31}{20} and \frac{12}{20} have the same denominator, add them by adding their numerators.

$$\frac{31+12}{20}$$

Add 31 and 12 to get 43.

$$\frac{43}{20}$$

Factor

$$\frac{43}{2 ^ {2} \cdot 5} = 2\frac{3}{20} = 2.15$$