Solve 1/5*3/2+11/4

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

Evaluate

$$\frac{31}{20}=1.55$$

Solution Steps

Multiply \frac{1}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 3}{5\times 2}.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

Least common multiple of 10 and 4 is 20. Convert \frac{3}{10} and \frac{5}{4} to fractions with denominator 20.

$$\frac{6}{20}+\frac{25}{20}$$

Since \frac{6}{20} and \frac{25}{20} have the same denominator, add them by adding their numerators.

$$\frac{6+25}{20}$$

Add 6 and 25 to get 31.

$$\frac{31}{20}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 5} = 1\frac{11}{20} = 1.55$$