We have hundreds of course questions with personalized recommendations + Account 100% premium
To solve this equation , we will perform the following steps:
Step 1: Convert mixed fractions to improper fractions.
Convert to an improper fraction:
Convert to an improper fraction:
Step 2: Solve for the missing term using the given equation.
Modify the equation to solve for the unknown fraction :
Convert these fractions to have a common denominator. The least common multiple of 2 and 3 is 6.
Adding these gives us:
Step 3: Convert the improper fraction back to a mixed fraction.
Divide 23 by 6 to get 3 with a remainder of 5, thus:
\( 5:\frac{2}{5}= \)
Converting makes calculations much easier! Working with is simpler than trying to add directly.
Find the least common multiple (LCM) of 2 and 3. Since they share no common factors, multiply them: 2 × 3 = 6. So 6 is your common denominator.
Always convert improper fractions back to mixed numbers! For example, because 23 ÷ 6 = 3 remainder 5.
Check if you simplified to first! Also verify your common denominator calculations - small errors here lead to completely wrong final answers.
Substitute your answer back into the original equation. For example: should equal . If it doesn't, recheck your work!
Get unlimited access to all 18 Mixed Fractions questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime