Solve (26,8-10x)div13+(26,8-10x)div6

$$( 26,8 - 10 x ) \div 13 + ( 26,8 - 10 x ) \div 6$$

Evaluate

$$-\frac{95x}{39}+\frac{1273}{195}$$

Solution Steps

Combine \frac{26,8-10x}{13} and \frac{26,8-10x}{6} to get \frac{19}{78}\left(26,8-10x\right).

$$\frac{19}{78}\left(26,8-10x\right)$$

Use the distributive property to multiply \frac{19}{78} by 26,8-10x.

$$\frac{19}{78}\times 26,8+\frac{19}{78}\left(-10\right)x$$

Convert decimal number 26,8 to fraction \frac{268}{10}. Reduce the fraction \frac{268}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{78}\times \frac{134}{5}+\frac{19}{78}\left(-10\right)x$$

Multiply \frac{19}{78} times \frac{134}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 134}{78\times 5}+\frac{19}{78}\left(-10\right)x$$

Do the multiplications in the fraction \frac{19\times 134}{78\times 5}.

$$\frac{2546}{390}+\frac{19}{78}\left(-10\right)x$$

Reduce the fraction \frac{2546}{390} to lowest terms by extracting and canceling out 2.

$$\frac{1273}{195}+\frac{19}{78}\left(-10\right)x$$

Express \frac{19}{78}\left(-10\right) as a single fraction.

$$\frac{1273}{195}+\frac{19\left(-10\right)}{78}x$$

Multiply 19 and -10 to get -190.

$$\frac{1273}{195}+\frac{-190}{78}x$$

Reduce the fraction \frac{-190}{78} to lowest terms by extracting and canceling out 2.

$$\frac{1273}{195}-\frac{95}{39}x$$

Expand

$$-\frac{95x}{39}+\frac{1273}{195}$$

Solution Steps

Combine \frac{26,8-10x}{13} and \frac{26,8-10x}{6} to get \frac{19}{78}\left(26,8-10x\right).

$$\frac{19}{78}\left(26,8-10x\right)$$

Use the distributive property to multiply \frac{19}{78} by 26,8-10x.

$$\frac{19}{78}\times 26,8+\frac{19}{78}\left(-10\right)x$$

Convert decimal number 26,8 to fraction \frac{268}{10}. Reduce the fraction \frac{268}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{78}\times \frac{134}{5}+\frac{19}{78}\left(-10\right)x$$

Multiply \frac{19}{78} times \frac{134}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 134}{78\times 5}+\frac{19}{78}\left(-10\right)x$$

Do the multiplications in the fraction \frac{19\times 134}{78\times 5}.

$$\frac{2546}{390}+\frac{19}{78}\left(-10\right)x$$

Reduce the fraction \frac{2546}{390} to lowest terms by extracting and canceling out 2.

$$\frac{1273}{195}+\frac{19}{78}\left(-10\right)x$$

Express \frac{19}{78}\left(-10\right) as a single fraction.

$$\frac{1273}{195}+\frac{19\left(-10\right)}{78}x$$

Multiply 19 and -10 to get -190.

$$\frac{1273}{195}+\frac{-190}{78}x$$

Reduce the fraction \frac{-190}{78} to lowest terms by extracting and canceling out 2.

$$\frac{1273}{195}-\frac{95}{39}x$$