Solve 8 1/6 x - 3x

Question

Simplify the expression

\frac{31}{6} x

Evaluate

8 \frac{1}{6} \times x - 3 x

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

8 \frac{1}{6}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{8 \times 6 + 1}{6}

Multiply the terms

\frac{48 + 1}{6}

Add the terms

\frac{49}{6}

\frac{49}{6} x - 3 x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{49}{6} - 3) x

Solution

More Steps

Evaluate

\frac{49}{6} - 3

Reduce fractions to a common denominator

\frac{49}{6} - \frac{3 \times 6}{6}

Write all numerators above the common denominator

\frac{49 - 3 \times 6}{6}

Multiply the numbers

\frac{49 - 18}{6}

Subtract the numbers

\frac{31}{6}

\frac{31}{6} x

Show Solution

x = 0

Evaluate

8 \frac{1}{6} \times x - 3 x

To find the roots of the expression,set the expression equal to 0

8 \frac{1}{6} \times x - 3 x = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

8 \frac{1}{6}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{8 \times 6 + 1}{6}

Multiply the terms

\frac{48 + 1}{6}

Add the terms

\frac{49}{6}

\frac{49}{6} x - 3 x = 0

Subtract the terms

More Steps

Simplify

\frac{49}{6} x - 3 x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{49}{6} - 3) x

Subtract the numbers

More Steps

Evaluate

\frac{49}{6} - 3

Reduce fractions to a common denominator

\frac{49}{6} - \frac{3 \times 6}{6}

Write all numerators above the common denominator

\frac{49 - 3 \times 6}{6}

Multiply the numbers

\frac{49 - 18}{6}

Subtract the numbers

\frac{31}{6}

\frac{31}{6} x

\frac{31}{6} x = 0

Solution

x = 0

Show Solution