Solve 8/24+4/6+17/48

$$\frac { 8 } { 24 } + \frac { 4 } { 6 } + \frac { 17 } { 48 }$$

Evaluate

$$\frac{65}{48}\approx 1.354166667$$

Solution Steps

Reduce the fraction \frac{8}{24} to lowest terms by extracting and canceling out 8.

$$\frac{1}{3}+\frac{4}{6}+\frac{17}{48}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}+\frac{2}{3}+\frac{17}{48}$$

Since \frac{1}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{3}+\frac{17}{48}$$

Add 1 and 2 to get 3.

$$\frac{3}{3}+\frac{17}{48}$$

Divide 3 by 3 to get 1.

$$1+\frac{17}{48}$$

Convert 1 to fraction \frac{48}{48}.

$$\frac{48}{48}+\frac{17}{48}$$

Since \frac{48}{48} and \frac{17}{48} have the same denominator, add them by adding their numerators.

$$\frac{48+17}{48}$$

Add 48 and 17 to get 65.

$$\frac{65}{48}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {4} \cdot 3} = 1\frac{17}{48} = 1.3541666666666667$$