Solve 7x^66/2+9x-7/5+7x+1/6

$$\frac { 7 x ^ { 66 } } { 2 } + \frac { 9 x - 7 } { 5 } + \frac { 7 x + 1 } { 6 }$$

Evaluate

$$\frac{7x^{66}}{2}+\frac{89x}{30}-\frac{37}{30}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 5 is 10. Multiply \frac{7x^{66}}{2} times \frac{5}{5}. Multiply \frac{9x-7}{5} times \frac{2}{2}.

$$\frac{5\times 7x^{66}}{10}+\frac{2\left(9x-7\right)}{10}+\frac{7x+1}{6}$$

Since \frac{5\times 7x^{66}}{10} and \frac{2\left(9x-7\right)}{10} have the same denominator, add them by adding their numerators.

$$\frac{5\times 7x^{66}+2\left(9x-7\right)}{10}+\frac{7x+1}{6}$$

Do the multiplications in 5\times 7x^{66}+2\left(9x-7\right).

$$\frac{35x^{66}+18x-14}{10}+\frac{7x+1}{6}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10 and 6 is 30. Multiply \frac{35x^{66}+18x-14}{10} times \frac{3}{3}. Multiply \frac{7x+1}{6} times \frac{5}{5}.

$$\frac{3\left(35x^{66}+18x-14\right)}{30}+\frac{5\left(7x+1\right)}{30}$$

Since \frac{3\left(35x^{66}+18x-14\right)}{30} and \frac{5\left(7x+1\right)}{30} have the same denominator, add them by adding their numerators.

$$\frac{3\left(35x^{66}+18x-14\right)+5\left(7x+1\right)}{30}$$

Do the multiplications in 3\left(35x^{66}+18x-14\right)+5\left(7x+1\right).

$$\frac{105x^{66}+54x-42+35x+5}{30}$$

Combine like terms in 105x^{66}+54x-42+35x+5.

$$\frac{105x^{66}+89x-37}{30}$$

Expand

$$\frac{7x^{66}}{2}+\frac{89x}{30}-\frac{37}{30}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 5 is 10. Multiply \frac{7x^{66}}{2} times \frac{5}{5}. Multiply \frac{9x-7}{5} times \frac{2}{2}.

$$\frac{5\times 7x^{66}}{10}+\frac{2\left(9x-7\right)}{10}+\frac{7x+1}{6}$$

Since \frac{5\times 7x^{66}}{10} and \frac{2\left(9x-7\right)}{10} have the same denominator, add them by adding their numerators.

$$\frac{5\times 7x^{66}+2\left(9x-7\right)}{10}+\frac{7x+1}{6}$$

Do the multiplications in 5\times 7x^{66}+2\left(9x-7\right).

$$\frac{35x^{66}+18x-14}{10}+\frac{7x+1}{6}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10 and 6 is 30. Multiply \frac{35x^{66}+18x-14}{10} times \frac{3}{3}. Multiply \frac{7x+1}{6} times \frac{5}{5}.

$$\frac{3\left(35x^{66}+18x-14\right)}{30}+\frac{5\left(7x+1\right)}{30}$$

Since \frac{3\left(35x^{66}+18x-14\right)}{30} and \frac{5\left(7x+1\right)}{30} have the same denominator, add them by adding their numerators.

$$\frac{3\left(35x^{66}+18x-14\right)+5\left(7x+1\right)}{30}$$

Do the multiplications in 3\left(35x^{66}+18x-14\right)+5\left(7x+1\right).

$$\frac{105x^{66}+54x-42+35x+5}{30}$$

Combine like terms in 105x^{66}+54x-42+35x+5.

$$\frac{105x^{66}+89x-37}{30}$$