Solve 48/63+72/30

$$\frac{ 48 }{ 63 } + \frac{ 72 }{ 30 }$$

Evaluate

$$\frac{332}{105}\approx 3.161904762$$

Solution Steps

Reduce the fraction \frac{48}{63} to lowest terms by extracting and canceling out 3.

$$\frac{16}{21}+\frac{72}{30}$$

Reduce the fraction \frac{72}{30} to lowest terms by extracting and canceling out 6.

$$\frac{16}{21}+\frac{12}{5}$$

Least common multiple of 21 and 5 is 105. Convert \frac{16}{21} and \frac{12}{5} to fractions with denominator 105.

$$\frac{80}{105}+\frac{252}{105}$$

Since \frac{80}{105} and \frac{252}{105} have the same denominator, add them by adding their numerators.

$$\frac{80+252}{105}$$

Add 80 and 252 to get 332.

$$\frac{332}{105}$$

Factor

$$\frac{2 ^ {2} \cdot 83}{3 \cdot 5 \cdot 7} = 3\frac{17}{105} = 3.1619047619047618$$