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List out the proper and improper fractio...

List out the proper and improper fractions from the following .
(a) `7//2` , (b) `3//4` , (c ) `5//2`
(d) `11//13` , (e ) `7//15` , (f) `17//13`
(g) `72//21`, (h) `81//87` , (i) `16//15`
(j) `20//29`

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To determine which of the given fractions are proper and which are improper, we need to understand the definitions: - **Proper Fraction**: A fraction where the numerator (the top number) is less than the denominator (the bottom number). In other words, \( A < B \) for a fraction \( \frac{A}{B} \). - **Improper Fraction**: A fraction where the numerator is greater than or equal to the denominator. In other words, \( A \geq B \) for a fraction \( \frac{A}{B} \). Now, let's analyze each fraction step-by-step: ...
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PEARSON IIT JEE FOUNDATION-FRACTIONS AND DECIMALS -Short Answer type Qns
  1. List out the proper and improper fractions from the following . (a) ...

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  2. Compare (i) 27//4 and 31//50 (ii) 4//5 and 7//8

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  3. Arrange the following fractions in ascending order and descending orde...

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  4. Convert 6//5 and 12//7 as mixed fractions ?

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  5. Convert (i) 1 3/4 and (ii) 3 4/5 as improper fraction.

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  6. Reduce 1562//1846 and 924//1188 in lowest terms.

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  7. Three frineds A, B and C have some money. If A has 3//10 of the tota...

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  8. There are 125 balls in a basket. Out of which, 15 are white, 25 are br...

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  9. What should be added to the sum of 1//8 and 1//7 so that the sum is 5...

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  10. What should be subtracted from the sum of 1//12 and 1//8 so that the d...

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  11. Simplify: 1/2 ÷ 4/3 xx 2/3 ÷ 1/2 + 3/4 - 5/2 + 2/3 xx 9/4 ÷ 2/3

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  12. Simplify : 2'1/2 - [2+{1/9[1/2+1/2+1/2]+1/2}xx3]+ 2'1/4 xx 2/3

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  13. Simplify : 1'2/(15) + 2'2/(15) + 3'2/(15) + "……" + 100'2/(15)

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  14. Simplify: 1'1/11 + 2'2/11 + 3'3/11 + 4/11 + 5/11 + 6/11

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  15. Joshna and Vijay have some chocolates, The num-ber of chocolates with ...

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  16. Priyanka spends 2//15 of her income on clothes, 1//9 of her income on ...

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  17. A rope of length 18'1/2 m is cut into equal pieces of 1'7/30 m each. F...

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  18. Convert 7//20 into a decimal fraction.

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  19. Convert 0.425 into a fraction.

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  20. Simplify : 128.364 +10.08 - 132.16 + 9.8

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