Solve 13/5:6+21/2*1/25

$$1 \frac { 3 } { 5 } : 6 + 2 \frac { 1 } { 2 } \cdot \frac { 1 } { 25 }$$

Evaluate

$$\frac{11}{30}\approx 0.366666667$$

Solution Steps

Express \frac{\frac{1\times 5+3}{5}}{6} as a single fraction.

$$\frac{1\times 5+3}{5\times 6}+\frac{2\times 2+1}{2}\times \frac{1}{25}$$

Multiply 1 and 5 to get 5.

$$\frac{5+3}{5\times 6}+\frac{2\times 2+1}{2}\times \frac{1}{25}$$

Add 5 and 3 to get 8.

$$\frac{8}{5\times 6}+\frac{2\times 2+1}{2}\times \frac{1}{25}$$

Multiply 5 and 6 to get 30.

$$\frac{8}{30}+\frac{2\times 2+1}{2}\times \frac{1}{25}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$\frac{4}{15}+\frac{2\times 2+1}{2}\times \frac{1}{25}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{15}+\frac{4+1}{2}\times \frac{1}{25}$$

Add 4 and 1 to get 5.

$$\frac{4}{15}+\frac{5}{2}\times \frac{1}{25}$$

Multiply \frac{5}{2} times \frac{1}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{15}+\frac{5\times 1}{2\times 25}$$

Do the multiplications in the fraction \frac{5\times 1}{2\times 25}.

$$\frac{4}{15}+\frac{5}{50}$$

Reduce the fraction \frac{5}{50} to lowest terms by extracting and canceling out 5.

$$\frac{4}{15}+\frac{1}{10}$$

Least common multiple of 15 and 10 is 30. Convert \frac{4}{15} and \frac{1}{10} to fractions with denominator 30.

$$\frac{8}{30}+\frac{3}{30}$$

Since \frac{8}{30} and \frac{3}{30} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{30}$$

Add 8 and 3 to get 11.

$$\frac{11}{30}$$

Factor

$$\frac{11}{2 \cdot 3 \cdot 5} = 0.36666666666666664$$