Solve 2 2/3m + 2/3m - m

Question

Simplify the expression

\frac{7}{3} m

Evaluate

2 \frac{2}{3} \times m + \frac{2}{3} m - m

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{2}{3}

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

\frac{2 \times 3 + 2}{3}

Multiply the terms

\frac{6 + 2}{3}

Add the terms

\frac{8}{3}

\frac{8}{3} m + \frac{2}{3} m - m

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

(\frac{8}{3} + \frac{2}{3} - 1) m

Solution

More Steps

Evaluate

\frac{8}{3} + \frac{2}{3} - 1

Reduce fractions to a common denominator

\frac{8}{3} + \frac{2}{3} - \frac{3}{3}

Write all numerators above the common denominator

\frac{8 + 2 - 3}{3}

Calculate the sum or difference

\frac{7}{3}

\frac{7}{3} m

Show Solution

m = 0

Evaluate

2 \frac{2}{3} \times m + \frac{2}{3} m - m

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

2 \frac{2}{3} \times m + \frac{2}{3} m - m = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{2}{3}

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

\frac{2 \times 3 + 2}{3}

Multiply the terms

\frac{6 + 2}{3}

Add the terms

\frac{8}{3}

\frac{8}{3} m + \frac{2}{3} m - m = 0

Add the terms

More Steps

Evaluate

\frac{8}{3} m + \frac{2}{3} m

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

(\frac{8}{3} + \frac{2}{3}) m

Add the numbers

More Steps

Evaluate

\frac{8}{3} + \frac{2}{3}

Write all numerators above the common denominator

\frac{8 + 2}{3}

Add the numbers

\frac{10}{3}

\frac{10}{3} m

\frac{10}{3} m - m = 0

Subtract the terms

More Steps

Simplify

\frac{10}{3} m - m

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

(\frac{10}{3} - 1) m

Subtract the numbers

More Steps

Evaluate

\frac{10}{3} - 1

Reduce fractions to a common denominator

\frac{10}{3} - \frac{3}{3}

Write all numerators above the common denominator

\frac{10 - 3}{3}

Subtract the numbers

\frac{7}{3}

\frac{7}{3} m

\frac{7}{3} m = 0

Solution

m = 0

Show Solution