Solve (8/9 5/6m)-2m

Question

Simplify the expression

- \frac{34}{27} m

Evaluate

(\frac{8}{9} \times \frac{5}{6} m) - 2 m

Multiply the terms

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Multiply the terms

\frac{8}{9} \times \frac{5}{6} m

Multiply the terms

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Evaluate

\frac{8}{9} \times \frac{5}{6}

Reduce the numbers

\frac{4}{9} \times \frac{5}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{4 \times 5}{9 \times 3}

Multiply the numbers

\frac{20}{9 \times 3}

Multiply the numbers

\frac{20}{27}

\frac{20}{27} m

\frac{20}{27} m - 2 m

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

(\frac{20}{27} - 2) m

Solution

More Steps

Evaluate

\frac{20}{27} - 2

Reduce fractions to a common denominator

\frac{20}{27} - \frac{2 \times 27}{27}

Write all numerators above the common denominator

\frac{20 - 2 \times 27}{27}

Multiply the numbers

\frac{20 - 54}{27}

Subtract the numbers

\frac{- 34}{27}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{34}{27}

- \frac{34}{27} m

Show Solution

Find the roots

m = 0

Evaluate

(\frac{8}{9} \times \frac{5}{6} m) - 2 m

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

(\frac{8}{9} \times \frac{5}{6} m) - 2 m = 0

Multiply the terms

More Steps

Multiply the terms

\frac{8}{9} \times \frac{5}{6} m

Multiply the terms

More Steps

Evaluate

\frac{8}{9} \times \frac{5}{6}

Reduce the numbers

\frac{4}{9} \times \frac{5}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{4 \times 5}{9 \times 3}

Multiply the numbers

\frac{20}{9 \times 3}

Multiply the numbers

\frac{20}{27}

\frac{20}{27} m

\frac{20}{27} m - 2 m = 0

Subtract the terms

More Steps

Simplify

\frac{20}{27} m - 2 m

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

(\frac{20}{27} - 2) m

Subtract the numbers

More Steps

Evaluate

\frac{20}{27} - 2

Reduce fractions to a common denominator

\frac{20}{27} - \frac{2 \times 27}{27}

Write all numerators above the common denominator

\frac{20 - 2 \times 27}{27}

Multiply the numbers

\frac{20 - 54}{27}

Subtract the numbers

\frac{- 34}{27}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{34}{27}

- \frac{34}{27} m

- \frac{34}{27} m = 0

Change the signs on both sides of the equation

\frac{34}{27} m = 0

Solution

m = 0

Show Solution