Share
Simplify 2 1/2 + 2 2/3 ÷ 2 1/3 - Order of Operations with Mixed Numbers
Published on September 27, 2026
Pre-Algebra
Learn how to evaluate the expression 2 1/2 + 2 2/3 ÷ 2 1/3 by converting mixed numbers to improper fractions, applying the order of operations to divide first, and then adding the fractions.
Question
Answer
To solve the expression
Step 1: Convert the mixed numbers to improper fractions
The expression becomes:
Step 2: Perform the division
To divide fractions, multiply by the reciprocal of the divisor:
To divide fractions, multiply by the reciprocal of the divisor:
The expression now is:
Step 3: Perform the addition
Find a common denominator, which is
Find a common denominator, which is
Step 4: Convert to a mixed number
Final Answer:
Theorems
• Order of Operations
A rule that specifies the sequence in which calculations should be performed, prioritizing division and multiplication before addition and subtraction:
• Fraction Division
To divide one fraction by another, multiply the first fraction by the reciprocal of the second:
• Fraction Addition
To add two fractions, find a common denominator so their numerators can be combined: