Solve 59/48+9/16

$$\frac { 59 } { 48 } + \frac { 9 } { 16 }$$

Evaluate

$$\frac{43}{24}\approx 1.791666667$$

Solution Steps

Least common multiple of 48 and 16 is 48. Convert \frac{59}{48} and \frac{9}{16} to fractions with denominator 48.

$$\frac{59}{48}+\frac{27}{48}$$

Since \frac{59}{48} and \frac{27}{48} have the same denominator, add them by adding their numerators.

$$\frac{59+27}{48}$$

Add 59 and 27 to get 86.

$$\frac{86}{48}$$

Reduce the fraction \frac{86}{48} to lowest terms by extracting and canceling out 2.

$$\frac{43}{24}$$

Factor

$$\frac{43}{2 ^ {3} \cdot 3} = 1\frac{19}{24} = 1.7916666666666667$$