# Mathematics - Class 6 / Grade 6

- Conversion of Unlike to Like Fraction / Comparing Fractions
### Conversion of Unlike to Like Fraction / Comparing Fractions

Math - Class 6 – Like and Unlike Fractions / Conversion of Unlike to Like Fraction / Comparing Fractions / - Key Points/Notes/Worksheets/Explanation/Lesson Tags: What Are Like Fractions? - Definition & Examples for grade VI, Unlike Fractions: Definition & Examples for sixth standard, What is like and unlike fractions? How do you compare fractions with different denominators? Compare fractions with like and unlike denominators, Compare fractions with different numerators and denominators free worksheet PDF, Practice Page and Question with solution for class 6Like and Unlike Fractions

Like Fractions

Fractions with the same denominators (bottom numbers) are called like fractions.

__For example:__2/15, 7/15 and 13/15 are like fractions with the same denominators (bottom numbers).

Key Points

1. 1/4, 2/8, 3/12 etc. are not like fractions, although when simplified, they all result in 1/4.

2. 5/11 and 5/21 are not like fractions because numerators are same but denominator are not.

3. Whole number such as 3, 6, 7 etc. are like fractions since their denominators are considered as 1.

Unlike Fractions

Fractions with different denominators (bottom numbers) are called unlike fractions.

__For example:__7/15, 11/5 and 13/11 are unlike fractions with the different denominators (bottom numbers).

Comparing Like Fractions

In case of like fractions, the fraction with the greater numerator is greater.

__Example:__Which is the larger fraction?These fractions have same denominators, so we will compare the numerators.

Second fraction has larger numerator, so it is greater.

Comparing Unlike Fractions

__Steps__1. Find the LCM (Least Common Multiple) of the denominators of the given fractions.

2. Convert the given fractions to equivalent fractions with denominator equal to the LCM (least common multiple) obtained in Step 1.

3. Compare the numerators of the equivalent fractions whose denominators are same.

Example: Compare 4/5 and 5/6.

Solution: Given fractions are unlike fractions.

LCM (least common multiple) of the denominators 5 and 6

LCM = 5 X 2 X 3 = 30

Now, we convert the given fractions to equivalent fractions with denominator 30.

We have,

Compare the numerators,

Since,

Therefore,

Example: Tom read 25 pages of a book containing 100 pages. Sam read 3/5 of the same book. Who read more?

Solution: Number of pages read by Tom = 25 pages

Number of pages read by Sam = 3/5 x 100

Hence, Sam read more pages.

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