Solve 11/2+23/52/4

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

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 2 and 5 to get 10.

$$\frac{3}{2}+\frac{10+3}{5}\times \frac{2}{4}$$

Add 10 and 3 to get 13.

$$\frac{3}{2}+\frac{13}{5}\times \frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}+\frac{13}{5}\times \frac{1}{2}$$

Multiply \frac{13}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{2}+\frac{13\times 1}{5\times 2}$$

Do the multiplications in the fraction \frac{13\times 1}{5\times 2}.

$$\frac{3}{2}+\frac{13}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{3}{2} and \frac{13}{10} to fractions with denominator 10.

$$\frac{15}{10}+\frac{13}{10}$$

Since \frac{15}{10} and \frac{13}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+13}{10}$$

Add 15 and 13 to get 28.

$$\frac{28}{10}$$

Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$