Solve 1/7+1/3/frac{4{7}-2/21}

$$\frac { \frac { 1 } { 7 } + \frac { 1 } { 3 } } { \frac { 4 } { 7 } - \frac { 2 } { 21 } }$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 7 and 3 is 21. Convert \frac{1}{7} and \frac{1}{3} to fractions with denominator 21.

$$\frac{\frac{3}{21}+\frac{7}{21}}{\frac{4}{7}-\frac{2}{21}}$$

Since \frac{3}{21} and \frac{7}{21} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+7}{21}}{\frac{4}{7}-\frac{2}{21}}$$

Add 3 and 7 to get 10.

$$\frac{\frac{10}{21}}{\frac{4}{7}-\frac{2}{21}}$$

Least common multiple of 7 and 21 is 21. Convert \frac{4}{7} and \frac{2}{21} to fractions with denominator 21.

$$\frac{\frac{10}{21}}{\frac{12}{21}-\frac{2}{21}}$$

Since \frac{12}{21} and \frac{2}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{10}{21}}{\frac{12-2}{21}}$$

Subtract 2 from 12 to get 10.

$$\frac{\frac{10}{21}}{\frac{10}{21}}$$

Divide \frac{10}{21} by \frac{10}{21} to get 1.

$$1$$

Factor

$$1$$