Simplify the Fraction 15/10 Using Factor of 5

Fraction Simplification with Common Factors

Simplify the following fraction by a factor of 5:

1510= \frac{15}{10}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Reduce the fraction by 5
00:03 Divide the fraction by the given factor
00:06 Make sure to divide both numerator and denominator
00:09 Calculate the quotients
00:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Simplify the following fraction by a factor of 5:

1510= \frac{15}{10}=

2

Step-by-step solution

Let's reduce as follows, we'll divide both the numerator and denominator by 5:

15:510:5=32 \frac{15:5}{10:5}=\frac{3}{2}

3

Final Answer

32 \frac{3}{2}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Divide both numerator and denominator by their greatest common factor
  • Technique: Find GCF of 15 and 10, which is 5, then divide both by 5
  • Check: Verify 32 \frac{3}{2} cannot be reduced further since GCF(3,2) = 1 ✓

Common Mistakes

Avoid these frequent errors
  • Dividing numerator and denominator by different numbers
    Don't divide 15 by 5 and 10 by 2 = 35 \frac{3}{5} ! This changes the fraction's value completely. Always divide both numerator and denominator by the same common factor.

Practice Quiz

Test your knowledge with interactive questions

Simplify the following fraction by a factor of 4:

\( \frac{4}{8}= \)

FAQ

Everything you need to know about this question

How do I find the greatest common factor of 15 and 10?

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List the factors: 15: 1, 3, 5, 15 and 10: 1, 2, 5, 10. The largest number that appears in both lists is 5, so GCF = 5.

What if I can't see the common factor right away?

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Try dividing both numbers by small primes like 2, 3, 5. For 15 and 10, both are divisible by 5: 15 ÷ 5 = 3 and 10 ÷ 5 = 2.

Why is 32 \frac{3}{2} the final answer?

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After dividing by 5, we get 32 \frac{3}{2} . Since 3 and 2 share no common factors except 1, this fraction is fully simplified.

Can I simplify by any factor or just the greatest one?

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You can simplify by any common factor, but using the greatest common factor gets you to the final answer in one step. Using smaller factors means more steps!

How do I know when a fraction is fully simplified?

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A fraction is fully simplified when the GCF of the numerator and denominator equals 1. This means they share no common factors except 1.

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