Solve 5/14div7+1/7*7/14

$$\frac { 5 } { 14 } \div 7 + \frac { 1 } { 7 } \times \frac { 7 } { 14 }$$

Evaluate

$$\frac{6}{49}\approx 0.12244898$$

Solution Steps

Express \frac{\frac{5}{14}}{7} as a single fraction.

$$\frac{5}{14\times 7}+\frac{1}{7}\times \frac{7}{14}$$

Multiply 14 and 7 to get 98.

$$\frac{5}{98}+\frac{1}{7}\times \frac{7}{14}$$

Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.

$$\frac{5}{98}+\frac{1}{7}\times \frac{1}{2}$$

Multiply \frac{1}{7} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{98}+\frac{1\times 1}{7\times 2}$$

Do the multiplications in the fraction \frac{1\times 1}{7\times 2}.

$$\frac{5}{98}+\frac{1}{14}$$

Least common multiple of 98 and 14 is 98. Convert \frac{5}{98} and \frac{1}{14} to fractions with denominator 98.

$$\frac{5}{98}+\frac{7}{98}$$

Since \frac{5}{98} and \frac{7}{98} have the same denominator, add them by adding their numerators.

$$\frac{5+7}{98}$$

Add 5 and 7 to get 12.

$$\frac{12}{98}$$

Reduce the fraction \frac{12}{98} to lowest terms by extracting and canceling out 2.

$$\frac{6}{49}$$

Factor

$$\frac{2 \cdot 3}{7 ^ {2}} = 0.12244897959183673$$