Solve 11/2+31/5+13/4=

$$1 \frac { 1 } { 2 } + 3 \frac { 1 } { 5 } + 1 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{129}{20}=6.45$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 3 and 5 to get 15.

$$\frac{3}{2}+\frac{15+1}{5}+\frac{1\times 4+3}{4}$$

Add 15 and 1 to get 16.

$$\frac{3}{2}+\frac{16}{5}+\frac{1\times 4+3}{4}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{16}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{32}{10}+\frac{1\times 4+3}{4}$$

Since \frac{15}{10} and \frac{32}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+32}{10}+\frac{1\times 4+3}{4}$$

Add 15 and 32 to get 47.

$$\frac{47}{10}+\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{47}{10}+\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{47}{10}+\frac{7}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{47}{10} and \frac{7}{4} to fractions with denominator 20.

$$\frac{94}{20}+\frac{35}{20}$$

Since \frac{94}{20} and \frac{35}{20} have the same denominator, add them by adding their numerators.

$$\frac{94+35}{20}$$

Add 94 and 35 to get 129.

$$\frac{129}{20}$$

Factor

$$\frac{3 \cdot 43}{2 ^ {2} \cdot 5} = 6\frac{9}{20} = 6.45$$