Solve 60/4*9+5*31/4*85+6/23*4

$$\frac { 60 } { 4 \times 9 } + \frac { 5 \times 31 } { 4 \cdot 85 } + \frac { 6 } { 23 \cdot 4 }$$

Evaluate

$$\frac{10265}{4692}\approx 2.187766411$$

Solution Steps

Multiply 4 and 9 to get 36.

$$\frac{60}{36}+\frac{5\times 31}{4\times 85}+\frac{6}{23\times 4}$$

Reduce the fraction \frac{60}{36} to lowest terms by extracting and canceling out 12.

$$\frac{5}{3}+\frac{5\times 31}{4\times 85}+\frac{6}{23\times 4}$$

Cancel out 5 in both numerator and denominator.

$$\frac{5}{3}+\frac{31}{4\times 17}+\frac{6}{23\times 4}$$

Multiply 4 and 17 to get 68.

$$\frac{5}{3}+\frac{31}{68}+\frac{6}{23\times 4}$$

Least common multiple of 3 and 68 is 204. Convert \frac{5}{3} and \frac{31}{68} to fractions with denominator 204.

$$\frac{340}{204}+\frac{93}{204}+\frac{6}{23\times 4}$$

Since \frac{340}{204} and \frac{93}{204} have the same denominator, add them by adding their numerators.

$$\frac{340+93}{204}+\frac{6}{23\times 4}$$

Add 340 and 93 to get 433.

$$\frac{433}{204}+\frac{6}{23\times 4}$$

Multiply 23 and 4 to get 92.

$$\frac{433}{204}+\frac{6}{92}$$

Reduce the fraction \frac{6}{92} to lowest terms by extracting and canceling out 2.

$$\frac{433}{204}+\frac{3}{46}$$

Least common multiple of 204 and 46 is 4692. Convert \frac{433}{204} and \frac{3}{46} to fractions with denominator 4692.

$$\frac{9959}{4692}+\frac{306}{4692}$$

Since \frac{9959}{4692} and \frac{306}{4692} have the same denominator, add them by adding their numerators.

$$\frac{9959+306}{4692}$$

Add 9959 and 306 to get 10265.

$$\frac{10265}{4692}$$

Factor

$$\frac{5 \cdot 2053}{2 ^ {2} \cdot 3 \cdot 17 \cdot 23} = 2\frac{881}{4692} = 2.187766410912191$$