Solve -3/98+3/2

$$- \frac { 3 } { 98 } + \frac { 3 } { 2 }$$

Evaluate

$$\frac{72}{49}\approx 1.469387755$$

Solution Steps

Least common multiple of 98 and 2 is 98. Convert -\frac{3}{98} and \frac{3}{2} to fractions with denominator 98.

$$-\frac{3}{98}+\frac{147}{98}$$

Since -\frac{3}{98} and \frac{147}{98} have the same denominator, add them by adding their numerators.

$$\frac{-3+147}{98}$$

Add -3 and 147 to get 144.

$$\frac{144}{98}$$

Reduce the fraction \frac{144}{98} to lowest terms by extracting and canceling out 2.

$$\frac{72}{49}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2}}{7 ^ {2}} = 1\frac{23}{49} = 1.469387755102041$$