Solve 54/48+105/75

$$\frac{ 54 }{ 48 } + \frac{ 105 }{ 75 }$$

Evaluate

$$\frac{101}{40}=2.525$$

Solution Steps

Reduce the fraction \frac{54}{48} to lowest terms by extracting and canceling out 6.

$$\frac{9}{8}+\frac{105}{75}$$

Reduce the fraction \frac{105}{75} to lowest terms by extracting and canceling out 15.

$$\frac{9}{8}+\frac{7}{5}$$

Least common multiple of 8 and 5 is 40. Convert \frac{9}{8} and \frac{7}{5} to fractions with denominator 40.

$$\frac{45}{40}+\frac{56}{40}$$

Since \frac{45}{40} and \frac{56}{40} have the same denominator, add them by adding their numerators.

$$\frac{45+56}{40}$$

Add 45 and 56 to get 101.

$$\frac{101}{40}$$

Factor

$$\frac{101}{2 ^ {3} \cdot 5} = 2\frac{21}{40} = 2.525$$