Solve 134/63quadtext{25.}7/39+11/26+2/3+frac{8}{9}

$$1 \frac { 34 } { 63 } \quad \text { 25. } \frac { 7 } { 39 } + \frac { 11 } { 26 } + \frac { 2 } { 3 } + \frac { 8 } { 9 }$$

Evaluate

$$\frac{6239}{702}\approx 8.887464387$$

Solution Steps

Multiply 1 and 63 to get 63.

$$\frac{63+34}{63}\times 25\times \frac{7}{39}+\frac{11}{26}+\frac{2}{3}+\frac{8}{9}$$

Add 63 and 34 to get 97.

$$\frac{97}{63}\times 25\times \frac{7}{39}+\frac{11}{26}+\frac{2}{3}+\frac{8}{9}$$

Express \frac{97}{63}\times 25 as a single fraction.

$$\frac{97\times 25}{63}\times \frac{7}{39}+\frac{11}{26}+\frac{2}{3}+\frac{8}{9}$$

Multiply 97 and 25 to get 2425.

$$\frac{2425}{63}\times \frac{7}{39}+\frac{11}{26}+\frac{2}{3}+\frac{8}{9}$$

Multiply \frac{2425}{63} times \frac{7}{39} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2425\times 7}{63\times 39}+\frac{11}{26}+\frac{2}{3}+\frac{8}{9}$$

Do the multiplications in the fraction \frac{2425\times 7}{63\times 39}.

$$\frac{16975}{2457}+\frac{11}{26}+\frac{2}{3}+\frac{8}{9}$$

Reduce the fraction \frac{16975}{2457} to lowest terms by extracting and canceling out 7.

$$\frac{2425}{351}+\frac{11}{26}+\frac{2}{3}+\frac{8}{9}$$

Least common multiple of 351 and 26 is 702. Convert \frac{2425}{351} and \frac{11}{26} to fractions with denominator 702.

$$\frac{4850}{702}+\frac{297}{702}+\frac{2}{3}+\frac{8}{9}$$

Since \frac{4850}{702} and \frac{297}{702} have the same denominator, add them by adding their numerators.

$$\frac{4850+297}{702}+\frac{2}{3}+\frac{8}{9}$$

Add 4850 and 297 to get 5147.

$$\frac{5147}{702}+\frac{2}{3}+\frac{8}{9}$$

Least common multiple of 702 and 3 is 702. Convert \frac{5147}{702} and \frac{2}{3} to fractions with denominator 702.

$$\frac{5147}{702}+\frac{468}{702}+\frac{8}{9}$$

Since \frac{5147}{702} and \frac{468}{702} have the same denominator, add them by adding their numerators.

$$\frac{5147+468}{702}+\frac{8}{9}$$

Add 5147 and 468 to get 5615.

$$\frac{5615}{702}+\frac{8}{9}$$

Least common multiple of 702 and 9 is 702. Convert \frac{5615}{702} and \frac{8}{9} to fractions with denominator 702.

$$\frac{5615}{702}+\frac{624}{702}$$

Since \frac{5615}{702} and \frac{624}{702} have the same denominator, add them by adding their numerators.

$$\frac{5615+624}{702}$$

Add 5615 and 624 to get 6239.

$$\frac{6239}{702}$$

Factor

$$\frac{17 \cdot 367}{2 \cdot 3 ^ {3} \cdot 13} = 8\frac{623}{702} = 8.887464387464387$$