Multiplying Fractions in Equations


Now that we've solved equations with fractions, let’s learn how to solve equations where you need to multiply fractions to get the variable.


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✏️ Concept:


To solve equations like:


(fraction) × x = value


You need to multiply both sides of the equation by the reciprocal of the fraction to isolate x.


> ✨ The reciprocal of a fraction is when you flip the numerator and denominator.


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📘 Example 1:


Solve:

(2/3) × x = 6


To eliminate the fraction, multiply both sides by the reciprocal of 2/3, which is 3/2:


x = 6 × (3/2)

x = 18/2 = 9


✅ Final Answer: x = 9


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📘 Example 2:


Solve:

(5/8) × x = 10


Multiply both sides by 8/5:


x = 10 × (8/5)

x = 80/5 = 16


✅ Final Answer: x = 16


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📝 Practice Questions:


1. (3/4) × x = 9


2. (7/2) × x = 14


3. (4/5) × x = 20


4. (2/3) × x = 10


5. (9/10) × x = 18


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✅ Answers:


1. x = 12


2. x = 4


3. x = 25


4. x = 15


5. x = 20


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📘 Want more lessons? Visit us:


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

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


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