Understanding Solving One-Step Linear Equations with Mixed Numbers: Addition
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Beginner
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Beginner Explanation
To solve an equation like p + 1 3/4 = 2 1/2, follow these steps:
1. Convert mixed numbers to improper fractions using n a/b = (nb + a)/b. Here, 1 3/4 = 7/4 and 2 1/2 = 5/2.
2. Rewrite the equation: p + 7/4 = 5/2.
3. Subtract 7/4 from both sides: p = 5/2 − 7/4.
4. Find a common denominator (4): 5/2 = 10/4, so p = 10/4 − 7/4 = 3/4.
5. Simplify if needed. The solution is p = 3/4.
1. Convert mixed numbers to improper fractions using n a/b = (nb + a)/b. Here, 1 3/4 = 7/4 and 2 1/2 = 5/2.
2. Rewrite the equation: p + 7/4 = 5/2.
3. Subtract 7/4 from both sides: p = 5/2 − 7/4.
4. Find a common denominator (4): 5/2 = 10/4, so p = 10/4 − 7/4 = 3/4.
5. Simplify if needed. The solution is p = 3/4.
Now showing Beginner level explanation.
Practice Problems
Test your understanding with practice problems
1
Quick Quiz
Single Choice Quiz
Beginner
Solve $\frac{1}{4} + p = \frac{7}{4}$ for $p$.
Please select an answer for all 1 questions before checking your answers. 1 question remaining.
2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
If you have $1 \frac{3}{4}$ cups of flour and need to add $p$ cups to make $2 \frac{1}{2}$ cups, how much flour do you need to add?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Find $p$ in $\frac{2}{3} + p = 1 \frac{1}{3}$.
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4
Challenge Quiz
Single Choice Quiz
Advanced
Solve $p + \frac{5}{6} = 2 \frac{1}{2}$.
Please select an answer for all 1 questions before checking your answers. 1 question remaining.
Recap
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