Solve 4 1/5 / 1 1/5 = 11- 1 7/18x

Question

Solve the equation

x = \frac{27}{5}

Alternative Form

x = 5.4

Evaluate

4 \frac{1}{5} \div 1 \frac{1}{5} = 11 - 1 \frac{7}{18} \times x

Simplify

More Steps

Evaluate

4 \frac{1}{5} \div 1 \frac{1}{5}

Covert the mixed number to an improper fraction

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Convert the expressions

4 \frac{1}{5}

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

\frac{4 \times 5 + 1}{5}

Multiply the terms

\frac{20 + 1}{5}

Add the terms

\frac{21}{5}

\frac{21}{5} \div 1 \frac{1}{5}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{5}

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

\frac{5 + 1}{5}

Add the terms

\frac{6}{5}

\frac{21}{5} \div \frac{6}{5}

Multiply by the reciprocal

\frac{21}{5} \times \frac{5}{6}

Reduce the numbers

\frac{7}{5} \times \frac{5}{2}

Reduce the numbers

7 \times \frac{1}{2}

Multiply the numbers

\frac{7}{2}

\frac{7}{2} = 11 - 1 \frac{7}{18} \times x

Covert the mixed number to an improper fraction

More Steps

Evaluate

1 \frac{7}{18}

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

\frac{18 + 7}{18}

Add the terms

\frac{25}{18}

\frac{7}{2} = 11 - \frac{25}{18} x

Swap the sides of the equation

11 - \frac{25}{18} x = \frac{7}{2}

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

- \frac{25}{18} x = \frac{7}{2} - 11

Subtract the numbers

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Evaluate

\frac{7}{2} - 11

Reduce fractions to a common denominator

\frac{7}{2} - \frac{11 \times 2}{2}

Write all numerators above the common denominator

\frac{7 - 11 \times 2}{2}

Multiply the numbers

\frac{7 - 22}{2}

Subtract the numbers

\frac{- 15}{2}

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

- \frac{15}{2}

- \frac{25}{18} x = - \frac{15}{2}

Change the signs on both sides of the equation

\frac{25}{18} x = \frac{15}{2}

Multiply by the reciprocal

\frac{25}{18} x \times \frac{18}{25} = \frac{15}{2} \times \frac{18}{25}

Multiply

x = \frac{15}{2} \times \frac{18}{25}

Solution

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Evaluate

\frac{15}{2} \times \frac{18}{25}

Reduce the numbers

\frac{3}{2} \times \frac{18}{5}

Reduce the numbers

3 \times \frac{9}{5}

Multiply the numbers

\frac{3 \times 9}{5}

Multiply the numbers

\frac{27}{5}

x = \frac{27}{5}

Alternative Form

x = 5.4

Show Solution

Rewrite the equation

5 x = 27

Evaluate

4 \frac{1}{5} \div 1 \frac{1}{5} = 11 - 1 \frac{7}{18} \times x

Evaluate

More Steps

Evaluate

4 \frac{1}{5} \div 1 \frac{1}{5}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

4 \frac{1}{5}

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

\frac{4 \times 5 + 1}{5}

Multiply the terms

\frac{20 + 1}{5}

Add the terms

\frac{21}{5}

\frac{21}{5} \div 1 \frac{1}{5}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{5}

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

\frac{5 + 1}{5}

Add the terms

\frac{6}{5}

\frac{21}{5} \div \frac{6}{5}

Multiply by the reciprocal

\frac{21}{5} \times \frac{5}{6}

Reduce the numbers

\frac{7}{5} \times \frac{5}{2}

Reduce the numbers

7 \times \frac{1}{2}

Multiply the numbers

\frac{7}{2}

\frac{7}{2} = 11 - 1 \frac{7}{18} \times x

Covert the mixed number to an improper fraction

More Steps

Evaluate

11 - 1 \frac{7}{18} \times x

Covert the mixed number to an improper fraction

More Steps

Evaluate

1 \frac{7}{18}

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

\frac{18 + 7}{18}

Add the terms

\frac{25}{18}

11 - \frac{25}{18} x

\frac{7}{2} = 11 - \frac{25}{18} x

Multiply both sides of the equation by LCD

63 = 198 - 25 x

Rewrite the expression

198 - 25 x = 63

Move the constant to the right side

- 25 x = - 135

Multiply both sides

25 x = 135

Solution

5 x = 27

Show Solution

Solve the equation

Rewrite the equation

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