Scaling & Types Of Fractions

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Unit: Number System

Chapter: Scaling & Types of Fractions

Reference: – Introduction to Scaling, Scaling in Fractions (Equivalent Fractions through Multiplication & Division), Scaling Up and Scaling Down, Types of Fractions (Proper, Improper, Mixed, Like, Unlike, Unit), Converting Between Improper Fractions and Mixed Fractions, Real-Life Applications of Scaling

After studying this chapter, you should be able to understand:

  • Introduction to Scaling & Its Meaning
  • Scaling in Fractions (Equivalent Fractions)
  • Scaling Up and Scaling Down
  • Types of Fractions (Proper, Improper, Mixed, Like, Unlike, Unit)
  • Converting Between Improper Fractions and Mixed Fractions
  • Real-Life Applications of Scaling

Comparison of Fractions

 

Comparing fractions with same denominators-

Suppose a chocolate has 8 parts. Peter has 5 parts of the chocolate whereas Aaron has remaining 3 parts. Who has more chocolate?

 

It is obvious that Peter has more chocolate than Aaron since he has 5 parts.

When we express this in fraction form, we can write,

Chocolate Peter has = 58

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Chocolate Aaron has = 38

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Here Peter has more parts than Aaron. 

So, 58>38

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Thus, Peter has more chocolate.

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So, we can say, if two fractions have the same denominator i.e. they are like fractions, then the fraction with greater numerator is greater.

Examples-

  1. 36<56

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  1. 915>715

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Comparing fractions with same numerators-

If two fractions have same numerators, then the fraction with greater denominator is smaller.

 

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Dividing a whole in more number of parts makes each part smaller.

Therefore, greater the denominator, smaller would be the number.

 

Examples-

  1. 512<59

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  1. 715>719

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Comparing Mixed Fractions

 

If there are two mixed fractions-

  • First, we compare the whole part. The fraction with greater whole part is greater.

 

  • If the whole part is same, then we compare the fractional part as we have learnt above. The fraction with greater fractional part is greater in such case.

 

  • We can also compare two mixed fractions by converting them into improper fractions and then comparing them like other fractions.

Examples-

Compare:

 

  1. 235<  515

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  1. 879>  529

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  1. 239>  229

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  1. 131722>  131222

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In each one of the above examples, first, we compare the whole number part of the mixed fraction and arrive at conclusion.

If we find whole numbers are equal, then we compare the fractional component of the mixed number.

 

Try This…

#What is the value of 12 of23 of34 of45 of56 of67 of78 of89 of910 of 1,000

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?

Solution– 100

 

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