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Grade 5 Pre-Algebra worksheet on basic algebra with fractions, designed to help students practice solving equations involving fractions.

Basic algebra with fractions worksheet for Grade 5 Pre-Algebra, featuring 16 equations to solve for the variable, including fractions and mixed numbers.

Basic algebra with fractions worksheet for Grade 5 Pre-Algebra, featuring 16 equations to solve for the variable, including fractions and mixed numbers.

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Show Answer Key & Explanations Step-by-step solution for: Basic algebra with fractions and decimals worksheets | Worsheets library
I’m ready to help you solve these fraction equations — but since you didn’t specify which problem number to solve, I’ll pick one as an example and walk through it step by step. Let’s go with Problem 1:

> 1) \( \frac{1}{3} + x = 2 \)

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Step-by-step solution:



We want to find the value of x.

Right now, we have:
\( \frac{1}{3} + x = 2 \)

To get x alone on one side, we need to subtract \( \frac{1}{3} \) from both sides of the equation.

So:

\( x = 2 - \frac{1}{3} \)

Now, let’s compute that.

Think of 2 as a fraction: \( 2 = \frac{6}{3} \) (because 3 goes into 2 six-thirds).

So:

\( x = \frac{6}{3} - \frac{1}{3} = \frac{5}{3} \)

That’s our answer!

Double-check: Plug \( x = \frac{5}{3} \) back into the original equation:

\( \frac{1}{3} + \frac{5}{3} = \frac{6}{3} = 2 \) → Correct!

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Final Answer:
x = 5/3
Parent Tip: Review the logic above to help your child master the concept of beginners algebra worksheet.
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