Evaluate Expressions Involving Rational Numbers Worksheet

6 problems

Evaluating expressions involving rational numbers means performing operations on fractions, integers, and decimals. Rational numbers are ratios of two integers. To evaluate these expressions, find common denominators, apply operation properties, and simplify. These worksheets help students practice solving expressions step-by-step, reinforcing order of operations and simplifying rational numbers. 

For example: Simplify `1/5 + 2/10 * 3/5`.

Algebra 1
Algebra Foundations

How Will This Worksheet Titled "Evaluate Expressions Involving Rational Numbers" Benefit Your Student's Learning?

  • Enhance understanding of the order of operations.
  • Teach students how to find the least common multiple (LCM).
  • Help simplify complex fractions, building a strong foundation for algebra.
  • Develop problem-solving skills through varied problem sets.
  • Improve precision and speed i...
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Solved Example

Q. Evaluate the expression.\newline45×1215\frac{4}{5} \times \frac{1}{2} - \frac{1}{5}\newlineWrite your answer in simplest form.
Solution:
  1. Given expression: \newline45×1215\frac{4}{5} \times \frac{1}{2} - \frac{1}{5}
  2. Multiply fractions: Multiply 45 \frac{4}{5} by 12 \frac{1}{2} .\newline 45×12=4×15×2=410 \frac{4}{5} \times \frac{1}{2} = \frac{4 \times 1}{5 \times 2} = \frac{4}{10}
  3. Simplify result: Simplify 410 \frac{4}{10} . \newline410=25 \frac{4}{10} = \frac{2}{5}
  4. Subtract fractions: Subtract 15 \frac{1}{5} from 25 \frac{2}{5} . \newline2515=215=15 \frac{2}{5} - \frac{1}{5} = \frac{2 - 1}{5} = \frac{1}{5}

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