Solve 1/3k-1 1/3k

Question

Simplify the expression

- k

Evaluate

\frac{1}{3} k - 1 \frac{1}{3} \times k

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{3}

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

\frac{3 + 1}{3}

Add the terms

\frac{4}{3}

\frac{1}{3} k - \frac{4}{3} k

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

(\frac{1}{3} - \frac{4}{3}) k

Solution

More Steps

Evaluate

\frac{1}{3} - \frac{4}{3}

Write all numerators above the common denominator

\frac{1 - 4}{3}

Subtract the numbers

\frac{- 3}{3}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

- k

Show Solution

k = 0

Evaluate

\frac{1}{3} k - 1 \frac{1}{3} \times k

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

\frac{1}{3} k - 1 \frac{1}{3} \times k = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{3}

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

\frac{3 + 1}{3}

Add the terms

\frac{4}{3}

\frac{1}{3} k - \frac{4}{3} k = 0

Subtract the terms

More Steps

Simplify

\frac{1}{3} k - \frac{4}{3} k

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

(\frac{1}{3} - \frac{4}{3}) k

Subtract the numbers

More Steps

Evaluate

\frac{1}{3} - \frac{4}{3}

Write all numerators above the common denominator

\frac{1 - 4}{3}

Subtract the numbers

\frac{- 3}{3}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

- k

- k = 0

Solution

k = 0

Show Solution