DECIMAL FRACTIONS
2/3
1/4
1/2
3/4
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Explanation : 0.75 = 75/100 = 3/4
\(\frac {71}{20}\)
\(\frac {51}{675}\)
\(\frac {751}{250}\)
\(\frac {75}{25}\)
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Explanation : 3.004 = \(\frac {3004}{1000}\) =\(\frac {751}{250}\)
\(\frac {71}{20}\)
\(\frac {7}{1250}\)
\(\frac {75}{250}\)
\(\frac {70}{125}\)
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Explanation : 0.0056 = \(\frac {56}{1000}\) =\(\frac {7}{1250}\)
16/29 < 7/12 < 5/8 < 3/4 < 13/16
13/16 < 7/12 < 5/8 < 3/4 < 16/29
13/16 < 7/12 < 16/29 < 3/4 < 5/8
16/29 < 7/12 < 3/4 < 5/8 < 13/16
View Answer
Explanation : Converting each of the given fractions into decimal form, we get :
5/8 = 0.624, 7/12 = 0.8125, 16/29 = 0.5517, and 3/4 = 0.75
Now, 0.5517<0.5833<0.625<0.75<0.8125
16/29 < 7/12 < 5/8 < 3/4 < 13/16
13/16 > 3/4 > 9/11> 8/9
8/9 > 9/11 > 3/4 > 13/ 16
3/4 > 9/11 > 8/9 > 13/ 16
8/9 > 13/16 > 3/4 > 9/ 11
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Explanation : Clearly, 3/5 = 0.6, 4/7 = 0.571, 8/9 = 0.88, 9/111 = 0.818.
Now, 0.88 > 0.818 > 0.6 > 0.571
8/9 > 9/11 > 3/4 > 13/ 16
6134.76555
6891.50000
6891.59775
6451.59775
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Explanation :
15.5724
19.4676
20.6456
19.6476
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Explanation :
13.7654
13.6543
13.7644
13.6754
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Explanation :
12.7654
7.8033
5.4673
7.9876
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Explanation :
3777.837
3767.336
3667.836
3767.836
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Explanation : Let 5172.49 + 378.352 + x = 9318.678
Then , x = 9318.678 – (5172.49 + 378.352) = 9318.678 – 5550.842 = 3767.836
12498.34
14298.34
18429.30
1234.56
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Explanation : Let x – 7328.96 = 5169.38. Then, x = 5169.38 + 7328.96 = 12498.34.
6320.4
632.04
63.204
6320.04
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Explanation : 6.3204 * 1000 = 632.04
3.393
3.03702
0.002560
1.9832
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Explanation : 261 8 13 = 3393. Sum of decimal places of given numbers = (2+1) = 3.
2.61 * 1.3 = 3.393.
1.2389
1.9832
3.234
3.432
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Explanation : Sum of decimal places = (2 + 2) = 4
2.68 * 0.74 = 1.9832.
0.7
0.0012
0.2431
0.0025
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Explanation : 204 / 17 = 12. Dividend contains 4 places of decimal. 0.2040 / 17 = 0.0012.
5000
500
2
3.1
View Answer
Explanation : 136.09/43.9 = (136.09*10) / (43.9*10) = 1360.9 / 439 = 3.1
0.0001
3.1
0.01
2
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Explanation : Let 0.006 / x = 0.6, Then, x = (0.006 / 0.6) = (0.006*10) / (0.6*10) = 0.06/6 = 0.01
3456
2689
2869
6280
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Explanation : (1 / 0.0003718 ) = ( 10000 / 3.718 ) = 10000 * (1 / 3.718) = 10000 * 0.2689 = 2689.
1232/89067
1234/679
3457/789965
3 (142857/999999)
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Explanation : 3.142857 = 3 + 0.142857 = 3 + (142857 / 999999) = 3 (142857/999999)
0.45
0.78
0.89
0.09
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Explanation : Given expression = (a3 + b3) / (a2 – ab + b2), where a = 0.05 , b = 0.04
= (a +b ) = (0.05 +0.04 ) =0.09