Solve (5/20*12/19)+(5/20*3/19)

$$( \frac{ 5 }{ 20 } \times \frac{ 12 }{ 19 } )+( \frac{ 5 }{ 20 } \times \frac{ 3 }{ 19 } )$$

Evaluate

$$\frac{15}{76}\approx 0.197368421$$

Solution Steps

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1}{4}\times \frac{12}{19}+\frac{5}{20}\times \frac{3}{19}$$

Multiply \frac{1}{4} times \frac{12}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 12}{4\times 19}+\frac{5}{20}\times \frac{3}{19}$$

Do the multiplications in the fraction \frac{1\times 12}{4\times 19}.

$$\frac{12}{76}+\frac{5}{20}\times \frac{3}{19}$$

Reduce the fraction \frac{12}{76} to lowest terms by extracting and canceling out 4.

$$\frac{3}{19}+\frac{5}{20}\times \frac{3}{19}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{3}{19}+\frac{1}{4}\times \frac{3}{19}$$

Multiply \frac{1}{4} times \frac{3}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{19}+\frac{1\times 3}{4\times 19}$$

Do the multiplications in the fraction \frac{1\times 3}{4\times 19}.

$$\frac{3}{19}+\frac{3}{76}$$

Least common multiple of 19 and 76 is 76. Convert \frac{3}{19} and \frac{3}{76} to fractions with denominator 76.

$$\frac{12}{76}+\frac{3}{76}$$

Since \frac{12}{76} and \frac{3}{76} have the same denominator, add them by adding their numerators.

$$\frac{12+3}{76}$$

Add 12 and 3 to get 15.

$$\frac{15}{76}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2} \cdot 19} = 0.19736842105263158$$