- Fraction
- |
- Proper Fraction
- |
- Mixed Fraction
- |
- Improper Fraction
- |
- How to convert Mixed Fractions to Improper Fractions
- |
- How to convert Improper Fractions to Mixed Fraction
- |
- How to Represent Fraction on Number Line?
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- Comparison, Addition and subtraction of Fraction

3/11

3 out of 11 parts

3 -> Called Numerator

11 -> Called Denominator

Example

1/3

2/3

4/5

1/3

2/3

4/5

11/5

5/4

10/9

Step1 |
Obtain the mixed fraction. Let the mixed fraction be 5^{2}/_{6} |

Step 2 |
Identify the whole number and the numerator (top) and denominator (bottom) of the proper fraction. Whole Number=5 Numerator=2 Denominator=6 |

Step 3 |
Apply the formula Example 5 ^{2}/_{6}=32/6 |

Step 1 |
Obtain the improper fraction. |

Step 2 |
Divide the numerator by the denominator and obtain the quotient and remainder. |

Step 3 |
Write the mixed fraction as Quotient (Reminder/ denominator) |

11/3

Here Numerator is greater than denominator, So Improper fraction

Now dividing 11 by 3, we get reminder as 2

So 11/3 =

Now, divide the gap between 0 and 1 into two equal parts. The point of division represents 1/2.

To represent 1/4 on a number line, we divide the gap between 0 and 1 into 4 equal parts

First point will represent ½

Second point will represent 2/4 =1/2

Third point will represent 3/4

1) If the numerator and the denominator of a fraction have no common factor except, then it is said to be in its simplest form or lowest form.

1/3

2/3

2) Equivalent fractions are fractions that have the same value in its simplest form.

2/6, 1/3, 6/18 are equivalent fractions as they have same value

2/3

Equivalent Fraction can be obtained by multiplying both the numerator and the denominator of the given fraction by the same number.

2/3 = 2×3/3×3= 6/9

2/3 = 2×5/3×5= 10/15

2/3 = 2×7/3×7= 14/21

Like Fractions |
Fractions with the same denominators are called like fractions. Example 1/3, 2/3 are Like Fractions ¼ ,3/4 are like Fractions |

Unlike Fraction |
Fractions with different denominators are called unlike fractions. Example 1/3 , 2/5 are Unlike Fractions |

Addition: The numerator adds to provide the final fraction value.

Subtraction: The Numerator subtract to provide the final fraction value.

And then it works like “like” Fraction

1) Compare 2/3 and 5/7

Solution

LCM of denominator is 3 and 7 is 21

So converting them equivalent Like fractions

2/3 = 2×7/3×7 = 14/21

5/7 = 5×3/7×3 = 15/21

Now 15/21 > 14/21

So 5/7 > 2/3

2)Perform the below Addition

Solution

LCM of 2 and 3 is 6

So converting them into equivalent Like Fractions

½ = 3/6

1/3 = 2/6

So

Two mixed fractions can also be converted into improper fractions and then added or subtracted.

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