Solve 4/5-1/3+23/99

$$\frac { 4 } { 5 } - \frac { 1 } { 3 } + \frac { 23 } { 99 }$$

Evaluate

$$\frac{346}{495}\approx 0.698989899$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{4}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{12}{15}-\frac{5}{15}+\frac{23}{99}$$

Since \frac{12}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{15}+\frac{23}{99}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{15}+\frac{23}{99}$$

Least common multiple of 15 and 99 is 495. Convert \frac{7}{15} and \frac{23}{99} to fractions with denominator 495.

$$\frac{231}{495}+\frac{115}{495}$$

Since \frac{231}{495} and \frac{115}{495} have the same denominator, add them by adding their numerators.

$$\frac{231+115}{495}$$

Add 231 and 115 to get 346.

$$\frac{346}{495}$$

Factor

$$\frac{2 \cdot 173}{3 ^ {2} \cdot 5 \cdot 11} = 0.6989898989898989$$