Solve 1/4+7/72+2/3=

$$\frac { 1 } { 4 } + \frac { 7 } { 72 } + \frac { 2 } { 3 } =$$

Evaluate

$$\frac{73}{72}\approx 1.013888889$$

Solution Steps

Least common multiple of 4 and 72 is 72. Convert \frac{1}{4} and \frac{7}{72} to fractions with denominator 72.

$$\frac{18}{72}+\frac{7}{72}+\frac{2}{3}$$

Since \frac{18}{72} and \frac{7}{72} have the same denominator, add them by adding their numerators.

$$\frac{18+7}{72}+\frac{2}{3}$$

Add 18 and 7 to get 25.

$$\frac{25}{72}+\frac{2}{3}$$

Least common multiple of 72 and 3 is 72. Convert \frac{25}{72} and \frac{2}{3} to fractions with denominator 72.

$$\frac{25}{72}+\frac{48}{72}$$

Since \frac{25}{72} and \frac{48}{72} have the same denominator, add them by adding their numerators.

$$\frac{25+48}{72}$$

Add 25 and 48 to get 73.

$$\frac{73}{72}$$

Factor

$$\frac{73}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{1}{72} = 1.0138888888888888$$