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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