Solve {l}{4/5+23/4}{+31/2}

$$\left. \begin{array} { l } { \frac { 4 } { 5 } + 2 \frac { 3 } { 4 } } \\ { + 3 \frac { 1 } { 2 } } \end{array} \right.$$

Evaluate

$$\frac{141}{20}=7.05$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{4}{5}+\frac{8+3}{4}+\frac{3\times 2+1}{2}$$

Add 8 and 3 to get 11.

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

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

$$\frac{16}{20}+\frac{55}{20}+\frac{3\times 2+1}{2}$$

Since \frac{16}{20} and \frac{55}{20} have the same denominator, add them by adding their numerators.

$$\frac{16+55}{20}+\frac{3\times 2+1}{2}$$

Add 16 and 55 to get 71.

$$\frac{71}{20}+\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{71}{20}+\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{71}{20}+\frac{7}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{71}{20} and \frac{7}{2} to fractions with denominator 20.

$$\frac{71}{20}+\frac{70}{20}$$

Since \frac{71}{20} and \frac{70}{20} have the same denominator, add them by adding their numerators.

$$\frac{71+70}{20}$$

Add 71 and 70 to get 141.

$$\frac{141}{20}$$

Factor

$$\frac{3 \cdot 47}{2 ^ {2} \cdot 5} = 7\frac{1}{20} = 7.05$$