Question 18 of 20intermediate💡 UnderstandShort Answer2 marks

Are 3/6, 4/8, 5/10 equivalent fractions? Why?

Correct Answer

Yes, 3/6, 4/8, and 5/10 are equivalent fractions.

Simplification:

Step 1: 3/6 = 1/2 (dividing by 3)

Step 2: 4/8 = 1/2 (dividing by 4)

Step 3: 5/10 = 1/2 (dividing by 5)

Conclusion: All three fractions simplify to 1/2, representing the same quantity — half of a whole.

∴ 3/6, 4/8, and 5/10 are equivalent fractions.

Exercise: Figure it Out (Section 8) | Q: 1 | (Page Page 15)
For More Understanding

Explanation

The chapter explains that equivalent fractions denote the same length but are expressed in terms of different fractional units. Using the fraction wall or simplification, we can see that 3/6, 4/8, and 5/10 all equal 1/2. Each fraction has a numerator that is half of its denominator.

Solution Steps

  1. Step 1: Simplify 3/6 = 1/2

  2. Step 2: Simplify 4/8 = 1/2

  3. Step 3: Simplify 5/10 = 1/2

  4. Step 4: All three equal 1/2, so they are equivalent

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