Dividing Fractions in Equations


In this lesson, we’ll learn how to solve equations where a variable is divided by a fraction — a key part of mastering algebra.


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✏️ Concept:


When solving an equation like:


x ÷ (a/b) = c,

you multiply both sides by the reciprocal of the fraction.


> ✨ Remember: Dividing by a fraction is the same as multiplying by its reciprocal.


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📘 Example 1:


Solve:

x ÷ (2/3) = 6


👉 Multiply both sides by 3/2 (the reciprocal of 2/3):


x = 6 × (3/2) = 18/2 = 9


✅ Final Answer: x = 9


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📘 Example 2:


Solve:

x ÷ (5/4) = 8


Multiply both sides by 4/5:


x = 8 × (4/5) = 32/5 = 6.4 or 6⅖


✅ Final Answer: x = 6.4


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📝 Practice Questions:


1. x ÷ (3/4) = 12


2. x ÷ (1/2) = 10


3. x ÷ (5/6) = 18


4. x ÷ (2/5) = 7


5. x ÷ (4/7) = 14


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✅ Answers:


1. x = 12 × (4/3) = 16


2. x = 10 × (2/1) = 20


3. x = 18 × (6/5) = 21.6


4. x = 7 × (5/2) = 17.5


5. x = 14 × (7/4) = 24.5


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📚 Continue learning at:


🔗 Blog: https://easymathsteps.blogspot.com

🌐 Website: https://www.easymathsguid.com.ng

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