Solve =(3/4*1/5+1/4*4/5)

$$= ( \frac { 3 } { 4 } \times \frac { 1 } { 5 } + \frac { 1 } { 4 } \times \frac { 4 } { 5 } )$$

Evaluate

$$\frac{7}{20}=0.35$$

Solution Steps

Multiply \frac{3}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 1}{4\times 5}.

$$\frac{3}{20}+\frac{1}{4}\times \frac{4}{5}$$

Multiply \frac{1}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{20}+\frac{1\times 4}{4\times 5}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3}{20}+\frac{1}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{3}{20} and \frac{1}{5} to fractions with denominator 20.

$$\frac{3}{20}+\frac{4}{20}$$

Since \frac{3}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{20}$$

Add 3 and 4 to get 7.

$$\frac{7}{20}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 5} = 0.35$$