Solve 7/2--3/42=

$$\frac { 7 } { 2 } - \frac { - 3 } { 42 } =$$

Evaluate

$$\frac{25}{7}\approx 3.571428571$$

Solution Steps

Reduce the fraction \frac{-3}{42} to lowest terms by extracting and canceling out 3.

$$\frac{7}{2}-\left(-\frac{1}{14}\right)$$

The opposite of -\frac{1}{14} is \frac{1}{14}.

$$\frac{7}{2}+\frac{1}{14}$$

Least common multiple of 2 and 14 is 14. Convert \frac{7}{2} and \frac{1}{14} to fractions with denominator 14.

$$\frac{49}{14}+\frac{1}{14}$$

Since \frac{49}{14} and \frac{1}{14} have the same denominator, add them by adding their numerators.

$$\frac{49+1}{14}$$

Add 49 and 1 to get 50.

$$\frac{50}{14}$$

Reduce the fraction \frac{50}{14} to lowest terms by extracting and canceling out 2.

$$\frac{25}{7}$$

Factor

$$\frac{5 ^ {2}}{7} = 3\frac{4}{7} = 3.5714285714285716$$