7. Example How much of a pizza do we have below? The blue circle is our whole. if we divide the whole into 8 congruent pieces, - the denominator would be 8 . We can see that we have 7 of these pieces. Therefore the numerator is 7 , and we have of a pizza.
8. Types Of Fractions Proper fractions & Improper Fractions Equivalent Fractions Like Fractions & Unlike Fractions Mixed Fractions Unit Fractions & Whole Fractions
9. Proper & Improper Fractions In Proper Fractions the numerator is less than the denominator. E.g.. – 1/2 ,3/4 ,2/7 etc. In Improper Fractions the numerator is greater than (or equal to) the denominator. E.g. – 4/2 ,9/5 ,6/6 etc. Every whole no is Improper Fraction E.g. – 24 = 24/1 1 4 7 4 I’m Smaller I’m Bigger
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11. Conversion Improper Fraction to Mixed Fraction divide the numerator by the denominator the quotient is the leading number, the remainder as the new numerator. Mixed Fraction to Improper Fraction multiply the whole number with the denominator and add the numerator to it. The answer is the numerator and the denominator is same 8 1 9 8 1 9 1 = 1 8 8 7 17 7 3 7 2 7 3 2
12. Like & Unlike Fractions In Like Fractions the denominators of the Fractions are same In Unlike Fractions the denominators of the Fractions are different.
13. Unit Fractions & Whole Fractions In Unit Fractions the numerator of the Fraction is 1. In Whole Fractions the denominators of the Fraction is 1.
22. Adding Fractions With Same Denominators Add the numerator and leave the denominator as it is. + = 1 2 3 1 + = = 6 6 6 2
23. Adding Fractions with Different Denominators If there are different denominators in the fractions, then we change them to like fractions. 15 5 3 1 5 2 15 6 5 2 3 1 15 11 15 6 15 5 5 2 3 1
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27. Subtracting Fractions With Same Denominators Subtract the numerator and leave the denominator as it is. - = 4 2 2 1 = = 6 6 6 3
28. Subtracting Fractions with Different Denominators If there are different denominators in the fractions, then we change them to like fractions. 15 10 3 2 5 2 15 6 5 2 3 2 15 4 15 6 15 10 5 2 3 2