# 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...
Show all

## Solved Example

Q. Evaluate the expression.$\newline$$\frac{4}{5} \times \frac{1}{2} - \frac{1}{5}$$\newline$Write your answer in simplest form.
Solution:
1. Given expression: $\newline$$\frac{4}{5} \times \frac{1}{2} - \frac{1}{5}$
2. Multiply fractions: Multiply $\frac{4}{5}$ by $\frac{1}{2}$.$\newline$ $\frac{4}{5} \times \frac{1}{2} = \frac{4 \times 1}{5 \times 2} = \frac{4}{10}$
3. Simplify result: Simplify $\frac{4}{10}$. $\newline$$\frac{4}{10} = \frac{2}{5}$
4. Subtract fractions: Subtract $\frac{1}{5}$ from $\frac{2}{5}$. $\newline$$\frac{2}{5} - \frac{1}{5} = \frac{2 - 1}{5} = \frac{1}{5}$

### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”