Solve 42/4+96/18+520/25=

$$4 \frac { 2 } { 4 } + 9 \frac { 6 } { 18 } + 5 \frac { 20 } { 25 } =$$

Evaluate

$$\frac{589}{30}\approx 19.633333333$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+2}{4}+\frac{9\times 18+6}{18}+\frac{5\times 25+20}{25}$$

Add 16 and 2 to get 18.

$$\frac{18}{4}+\frac{9\times 18+6}{18}+\frac{5\times 25+20}{25}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}+\frac{9\times 18+6}{18}+\frac{5\times 25+20}{25}$$

Multiply 9 and 18 to get 162.

$$\frac{9}{2}+\frac{162+6}{18}+\frac{5\times 25+20}{25}$$

Add 162 and 6 to get 168.

$$\frac{9}{2}+\frac{168}{18}+\frac{5\times 25+20}{25}$$

Reduce the fraction \frac{168}{18} to lowest terms by extracting and canceling out 6.

$$\frac{9}{2}+\frac{28}{3}+\frac{5\times 25+20}{25}$$

Least common multiple of 2 and 3 is 6. Convert \frac{9}{2} and \frac{28}{3} to fractions with denominator 6.

$$\frac{27}{6}+\frac{56}{6}+\frac{5\times 25+20}{25}$$

Since \frac{27}{6} and \frac{56}{6} have the same denominator, add them by adding their numerators.

$$\frac{27+56}{6}+\frac{5\times 25+20}{25}$$

Add 27 and 56 to get 83.

$$\frac{83}{6}+\frac{5\times 25+20}{25}$$

Multiply 5 and 25 to get 125.

$$\frac{83}{6}+\frac{125+20}{25}$$

Add 125 and 20 to get 145.

$$\frac{83}{6}+\frac{145}{25}$$

Reduce the fraction \frac{145}{25} to lowest terms by extracting and canceling out 5.

$$\frac{83}{6}+\frac{29}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{83}{6} and \frac{29}{5} to fractions with denominator 30.

$$\frac{415}{30}+\frac{174}{30}$$

Since \frac{415}{30} and \frac{174}{30} have the same denominator, add them by adding their numerators.

$$\frac{415+174}{30}$$

Add 415 and 174 to get 589.

$$\frac{589}{30}$$

Factor

$$\frac{19 \cdot 31}{2 \cdot 3 \cdot 5} = 19\frac{19}{30} = 19.633333333333333$$