Solve 855div12+113div2+10div6+47412div478*378

$$855 \div 12 + 113 \div 2 + 10 \div 6 + 47412 \div 478 \times 378$$

Evaluate

$$\frac{107901583}{2868}\approx 37622.588214784$$

Solution Steps

Reduce the fraction \frac{855}{12} to lowest terms by extracting and canceling out 3.

$$\frac{285}{4}+\frac{113}{2}+\frac{10}{6}+\frac{47412}{478}\times 378$$

Least common multiple of 4 and 2 is 4. Convert \frac{285}{4} and \frac{113}{2} to fractions with denominator 4.

$$\frac{285}{4}+\frac{226}{4}+\frac{10}{6}+\frac{47412}{478}\times 378$$

Since \frac{285}{4} and \frac{226}{4} have the same denominator, add them by adding their numerators.

$$\frac{285+226}{4}+\frac{10}{6}+\frac{47412}{478}\times 378$$

Add 285 and 226 to get 511.

$$\frac{511}{4}+\frac{10}{6}+\frac{47412}{478}\times 378$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{511}{4}+\frac{5}{3}+\frac{47412}{478}\times 378$$

Least common multiple of 4 and 3 is 12. Convert \frac{511}{4} and \frac{5}{3} to fractions with denominator 12.

$$\frac{1533}{12}+\frac{20}{12}+\frac{47412}{478}\times 378$$

Since \frac{1533}{12} and \frac{20}{12} have the same denominator, add them by adding their numerators.

$$\frac{1533+20}{12}+\frac{47412}{478}\times 378$$

Add 1533 and 20 to get 1553.

$$\frac{1553}{12}+\frac{47412}{478}\times 378$$

Reduce the fraction \frac{47412}{478} to lowest terms by extracting and canceling out 2.

$$\frac{1553}{12}+\frac{23706}{239}\times 378$$

Express \frac{23706}{239}\times 378 as a single fraction.

$$\frac{1553}{12}+\frac{23706\times 378}{239}$$

Multiply 23706 and 378 to get 8960868.

$$\frac{1553}{12}+\frac{8960868}{239}$$

Least common multiple of 12 and 239 is 2868. Convert \frac{1553}{12} and \frac{8960868}{239} to fractions with denominator 2868.

$$\frac{371167}{2868}+\frac{107530416}{2868}$$

Since \frac{371167}{2868} and \frac{107530416}{2868} have the same denominator, add them by adding their numerators.

$$\frac{371167+107530416}{2868}$$

Add 371167 and 107530416 to get 107901583.

$$\frac{107901583}{2868}$$

Factor

$$\frac{37 \cdot 1283 \cdot 2273}{2 ^ {2} \cdot 3 \cdot 239} = 37622\frac{1687}{2868} = 37622.58821478382$$