Multi-step Fraction Equations Worksheet

Practice solving multi-step equations involving fractions for Grade 10 math students.

Grade 10 Math AlgebraMulti-step Fraction Equations

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Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

mathalgebrafractionsequationsgrade 10

6 sections · Free to use · Printable

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Multi-step Fraction Equations

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Solve each multi-step fraction equation. Show all your work. Simplify your answers completely.

1. \( \frac{2}{3}x + \frac{1}{6} = \frac{5}{12} \)

2. \( \frac{3}{4}(x - \frac{1}{2}) = \frac{9}{8} \)

3. To solve \( \frac{x}{5} - \frac{1}{2} = \frac{3}{10} \), the first step is to add \( \frac{1}{2} \) to both sides, which results in \( \frac{x}{5} = \) .

4. If \( \frac{2}{7}y + \frac{1}{14} = \frac{5}{14} \), then \( \frac{2}{7}y = \) .

5. Which of the following is the correct first step to solve \( \frac{1}{3}(2x - 4) = \frac{5}{6} \)?

Add \( \frac{4}{3} \) to both sides.

Multiply both sides by 3.

Subtract \( \frac{4}{3} \) from both sides.

Divide both sides by \( \frac{1}{3} \).

6. \( \frac{3}{5}w - \frac{1}{10} = \frac{1}{2}w + \frac{1}{5} \)

7. \( 2( \frac{1}{4}z + \frac{3}{8} ) = \frac{1}{2}z - \frac{1}{4} \)