Solve 3 2/3 -1 5/6 x=3 7/12

Question

Solve the equation

x = \frac{1}{22}

Alternative Form

x = 0.0 \dot{4} \dot{5}

Evaluate

3 \frac{2}{3} - 1 \frac{5}{6} \times x = 3 \frac{7}{12}

Simplify

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Evaluate

3 \frac{2}{3} - 1 \frac{5}{6} \times x

Covert the mixed number to an improper fraction

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Convert the expressions

1 \frac{5}{6}

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

\frac{6 + 5}{6}

Add the terms

\frac{11}{6}

3 \frac{2}{3} - \frac{11}{6} x

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{2}{3}

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

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

Multiply the terms

\frac{9 + 2}{3}

Add the terms

\frac{11}{3}

\frac{11}{3} - \frac{11}{6} x

\frac{11}{3} - \frac{11}{6} x = 3 \frac{7}{12}

Covert the mixed number to an improper fraction

More Steps

Evaluate

3 \frac{7}{12}

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

\frac{3 \times 12 + 7}{12}

Multiply the terms

\frac{36 + 7}{12}

Add the terms

\frac{43}{12}

\frac{11}{3} - \frac{11}{6} x = \frac{43}{12}

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

- \frac{11}{6} x = \frac{43}{12} - \frac{11}{3}

Subtract the numbers

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Evaluate

\frac{43}{12} - \frac{11}{3}

Reduce fractions to a common denominator

\frac{43}{12} - \frac{11 \times 4}{3 \times 4}

Multiply the numbers

\frac{43}{12} - \frac{11 \times 4}{12}

Write all numerators above the common denominator

\frac{43 - 11 \times 4}{12}

Multiply the numbers

\frac{43 - 44}{12}

Subtract the numbers

\frac{- 1}{12}

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

- \frac{1}{12}

- \frac{11}{6} x = - \frac{1}{12}

Change the signs on both sides of the equation

\frac{11}{6} x = \frac{1}{12}

Multiply by the reciprocal

\frac{11}{6} x \times \frac{6}{11} = \frac{1}{12} \times \frac{6}{11}

Multiply

x = \frac{1}{12} \times \frac{6}{11}

Solution

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Evaluate

\frac{1}{12} \times \frac{6}{11}

Reduce the numbers

\frac{1}{2} \times \frac{1}{11}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{2 \times 11}

Multiply the numbers

\frac{1}{22}

x = \frac{1}{22}

Alternative Form

x = 0.0 \dot{4} \dot{5}

Show Solution

Rewrite the equation

22 x = 1

Evaluate

3 \frac{2}{3} - 1 \frac{5}{6} \times x = 3 \frac{7}{12}

Evaluate

More Steps

Evaluate

3 \frac{2}{3} - 1 \frac{5}{6} \times x

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{5}{6}

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

\frac{6 + 5}{6}

Add the terms

\frac{11}{6}

3 \frac{2}{3} - \frac{11}{6} x

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{2}{3}

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

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

Multiply the terms

\frac{9 + 2}{3}

Add the terms

\frac{11}{3}

\frac{11}{3} - \frac{11}{6} x

\frac{11}{3} - \frac{11}{6} x = 3 \frac{7}{12}

Evaluate

More Steps

Evaluate

3 \frac{7}{12}

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

\frac{3 \times 12 + 7}{12}

Multiply the terms

\frac{36 + 7}{12}

Add the terms

\frac{43}{12}

\frac{11}{3} - \frac{11}{6} x = \frac{43}{12}

Multiply both sides of the equation by LCD

44 - 22 x = 43

Move the constant to the right side

- 22 x = - 1

Solution

22 x = 1

Show Solution

Solve the equation

Rewrite the equation

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