Solve 8 9/10-x=4 5/6

Question

Solve the equation

x = \frac{61}{15}

Alternative Form

x = 4.0 \dot{6}

Evaluate

8 \frac{9}{10} - x = 4 \frac{5}{6}

Covert the mixed number to an improper fraction

More Steps

Evaluate

8 \frac{9}{10}

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

\frac{8 \times 10 + 9}{10}

Multiply the terms

\frac{80 + 9}{10}

Add the terms

\frac{89}{10}

\frac{89}{10} - x = 4 \frac{5}{6}

Covert the mixed number to an improper fraction

More Steps

Evaluate

4 \frac{5}{6}

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

\frac{4 \times 6 + 5}{6}

Multiply the terms

\frac{24 + 5}{6}

Add the terms

\frac{29}{6}

\frac{89}{10} - x = \frac{29}{6}

Move the constant to the right-hand side and change its sign

- x = \frac{29}{6} - \frac{89}{10}

Subtract the numbers

More Steps

Evaluate

\frac{29}{6} - \frac{89}{10}

Reduce fractions to a common denominator

\frac{29 \times 5}{6 \times 5} - \frac{89 \times 3}{10 \times 3}

Multiply the numbers

\frac{29 \times 5}{30} - \frac{89 \times 3}{10 \times 3}

Multiply the numbers

\frac{29 \times 5}{30} - \frac{89 \times 3}{30}

Write all numerators above the common denominator

\frac{29 \times 5 - 89 \times 3}{30}

Multiply the numbers

\frac{145 - 89 \times 3}{30}

Multiply the numbers

\frac{145 - 267}{30}

Subtract the numbers

\frac{- 122}{30}

Cancel out the common factor 2

\frac{- 61}{15}

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

- \frac{61}{15}

- x = - \frac{61}{15}

Solution

x = \frac{61}{15}

Alternative Form

x = 4.0 \dot{6}

Show Solution

Rewrite the equation

15 x = 61

Evaluate

8 \frac{9}{10} - x = 4 \frac{5}{6}

Covert the mixed number to an improper fraction

More Steps

Evaluate

8 \frac{9}{10} - x

Covert the mixed number to an improper fraction

More Steps

Evaluate

8 \frac{9}{10}

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

\frac{8 \times 10 + 9}{10}

Multiply the terms

\frac{80 + 9}{10}

Add the terms

\frac{89}{10}

\frac{89}{10} - x

\frac{89}{10} - x = 4 \frac{5}{6}

Evaluate

More Steps

Evaluate

4 \frac{5}{6}

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

\frac{4 \times 6 + 5}{6}

Multiply the terms

\frac{24 + 5}{6}

Add the terms

\frac{29}{6}

\frac{89}{10} - x = \frac{29}{6}

Multiply both sides of the equation by LCD

267 - 30 x = 145

Move the constant to the right side

- 30 x = - 122

Multiply both sides

30 x = 122

Solution

15 x = 61

Show Solution

Solve the equation

Rewrite the equation

Graph