Fraction

**Category : **5th Class

**Like Fraction**

The fractions which have the same denominator are called like fractions. For example, \[\frac{5}{7},\frac{9}{7},\frac{5}{7}\]are like fractions as they have the same denominator.

**Write the like fraction of \[\frac{8}{21}\]whose numerator is 4.**

**Answer:**

According to the question numerator should be 4 and like fractions have same denominator thus the required fraction will be \[\frac{4}{21}.\]

**Unlike Fraction**

The fractions which have different denominators are called unlike fractions. For example, \[\frac{58}{87},\frac{52}{75},\frac{45}{88}\]are unlike fractions as they have different denominators.

**Represent the shaded part in the following figures into fractional form and check are they unlike fractions?**

Fractional representation for the shaded part in first figure is \[\frac{2}{4}\]and for the second figure is \[\frac{4}{6}.\] The fractions have different denominators. Therefore, they are unlike fractions.

**Unit Fraction**

The fractions which have the numerator 1 are called unit fractions. For example,\[\frac{1}{5},\frac{1}{8},\frac{1}{12}\]are the unit fractions as each of them has the numerator 1.

**The following picture has been divided into 5 equal parts. How many parts of the figure should be shaded so that fractional representation of the shaded part of the figure is a unit fraction. **

**Solution:**

A unit fraction has the numerator 1, therefore, only 1 part should be shaded.

**Proper Fraction**

If the numerator of a fraction is smaller than denominator, the fraction is called proper fraction. For example, \[\frac{5}{7}\] is a proper fraction as 5 is smaller than 7.

**A flowering plant contains 19 flowers. 11 flowers fall down. What fraction of the total flower falls down? Is it a proper fraction?**

**Answer:**

Total number of flower = 19

Number of flower which falls down = 11

Fractional representation of the flowers which fall down out of total flower \[=\frac{11}{19}\]

11 is smaller than 19 thus \[\frac{11}{19}\]is a proper fraction.

**Improper Fraction**

If the numerator of a fraction is greater than denominator, the fraction is called improper fraction. For example,\[\frac{19}{17}\]is an improper fraction as 19 is greater than17.

**11 kg of sweet is distributed among 5 persons. Represent the amount each ofthe person would get as a fraction and check it is a proper or improper fraction? **

**Solution:**

Total amount of sweet = 11 kg

Number of person = 5

Total amount which each of the persons would get \[=\frac{11}{5}kg\]

\[\frac{11}{5}\] is an improper fraction as numerator is greater than denominator in the fraction.

**Mixed Fraction**

Mixed fraction is a sum of a whole number and a proper fraction. Both the wholenumber and the fraction are written together but sign of the addition (+) remains disappeared between them. For example, \[4\frac{1}{5}\]is a mixed fraction. Where 4 is a whole number and \[\frac{1}{5}\] is a proper fraction.

*play_arrow*Fractions and Operation on Fractions*play_arrow*Introduction*play_arrow*Fraction*play_arrow*Coversion of Fractions*play_arrow*Lowest or Simplest Form of a Fraction*play_arrow*Equivalent Fractions*play_arrow*Reciprocal of a Fraction*play_arrow*Comparison of Unit Fractions*play_arrow*Fractions*play_arrow*Fractions

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