Solve 24/1+frac{14{21}+25/30}

$$\frac { 24 } { 1 + \frac { 14 } { 21 } + \frac { 25 } { 30 } }$$

Evaluate

$$\frac{48}{5}=9.6$$

Solution Steps

Reduce the fraction \frac{14}{21} to lowest terms by extracting and canceling out 7.

$$\frac{24}{1+\frac{2}{3}+\frac{25}{30}}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{24}{\frac{3}{3}+\frac{2}{3}+\frac{25}{30}}$$

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

$$\frac{24}{\frac{3+2}{3}+\frac{25}{30}}$$

Add 3 and 2 to get 5.

$$\frac{24}{\frac{5}{3}+\frac{25}{30}}$$

Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.

$$\frac{24}{\frac{5}{3}+\frac{5}{6}}$$

Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{24}{\frac{10}{6}+\frac{5}{6}}$$

Since \frac{10}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{24}{\frac{10+5}{6}}$$

Add 10 and 5 to get 15.

$$\frac{24}{\frac{15}{6}}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{24}{\frac{5}{2}}$$

Divide 24 by \frac{5}{2} by multiplying 24 by the reciprocal of \frac{5}{2}.

$$24\times \frac{2}{5}$$

Express 24\times \frac{2}{5} as a single fraction.

$$\frac{24\times 2}{5}$$

Multiply 24 and 2 to get 48.

$$\frac{48}{5}$$

Factor

$$\frac{2 ^ {4} \cdot 3}{5} = 9\frac{3}{5} = 9.6$$