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September 14, 2023
On this page, you will learn about the Decimal Fraction Questions with solution, with the types of Decimal Fractions and also some solved questions with explanation.
The decimals is of two types :
As the name proposes, non-recurring signifies the number which do not reappear or reiterate that is they terminate or come to an end such as, 0.5, 0.25, as well as 0.125 or more. For the mater of converting these fractions, only the numerator has to be divided with the denominator. For instance, if you have to convert 1/4 into a decimal then you need to divide 1 by 4 to get the answer as 0.25.
Converting 0.5 into fraction
0.5 = 5 / 10= 1 / 2, or
converting 1/4 into Decimal
Dividing 1 by 4 we will get= 0.25
It can be said from the name itself that signifies the number which reappears or reiterate that is they do not terminate or come to an end, such as. 0.333…, 0.545454…. and more. For converting these fractions, all we have to do is to divide the numerator with the denominator. For instance, if you want to convert 1/3 in a decimal, then divide 1 by 3 to get the result as 0.333…
Converting 1/3 into decimal
Dividing 1 by 3 we will get= 0.333..
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1. Find a number such that when 18 is subtracted from 8 times the number, the result is 12 more than twice the number.
5
10
15
20
Let, the number be z, Then, 8z – 18 = 2z + 12 ⇒ 6z = 30 ⇔ z = 5. Hence, the required number is 5.
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2. The sum of two numbers is 198. If one-third of the one exceeds one - seventh of the other by 8, find the smaller number.
65
68
70.8
76.2
Let the number be z and (198 – z). then,
⇒ z/3 – (198 – z )/7 = 8.
⇒ 7z – 3(198 – z) = 168
⇒ 10z = 762
⇒ z = 76.2
3. What percent of 1000.008 is 10320.408?
1130.25%
1032.032%
1030%
1032%
Let x% of 1000.008 = 10320.408 Then, x/100 * 1000.008 = 10320.408 1000.008x = 1032040.8 x = 1032040.8/ 1000.008 x = 1032.032%
4. Find the value of x in the given expression: 310420/1009= x/ 0.0075
1.8
2.30
3.5
None of the above
310420/1009= x/ 0.0075 = 1009x = 310420 * 0.0075 = 1009x = 2328.15 x = 2328.15/1009 x = 2.30
5. If 122.21x = 0.00122y, then find the value of ((y - x) / (y + x)).
6110439 / 6110561
6110439/6110561
6110561/6110500
x/y = 0.00122 / 122.21 = 000.122 / 12221 = 122 / 12221000 = 61 / 6110500 x = 61 , y = 6110500
y-x = 6110500 - 61 = 6110439 y+x = 6110500+61 = 6110561
(y-x) / (y+x) = 6110439 / 6110561
6. What least number is there in the place of * so that the number 9041705*4 is divisible by 7?
3
2
4
9 + 0 + 4 + 1 + 7 + 0 + 5 + 4 = 30 The nearest number divisible by 7 is 35 7 * 5 = 35 Therefore, the missing number is 35 – 30 = 5 Hence, the number is 904170554
7. Find the sum of all the prime number between 10000 and 10100?
110424
110648
110651
110650
The prime numbers between 10000 and 11000 are: 10007, 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, and 10099 Therefore, the sum = 10007+ 10009+ 10037+ 10039+ 10061 + 10067 + 10069 + 10079 + 10091 + 10093 + 10099 = 110651
8. A number is as much greater than 5001 as it is less than 10001. Find the number.
7741
7501
7546
7549
Let the number be x Given, (x-5001) = (10001-x) = x + x = 10001 + 5001 2x = 15002 x = 7501
9. Eleven thirtieth of a number is 12 more than one fifth of a number. Find the number.
45
60
55
72
11/30x – 1/5x = 12 5/30x = 12 1/6x = 12 x = 12 * 6 x = 72
10. Find the value of .114*.114+2*.114*.044+.044*.044
0.024964
0.201232
1.306956
30.69
To calculate the expression .114 * .114 + 2 * .114 * .044 + .044 * .044, we can simplify it step by step: .114 * .114 = 0.012996 2 * .114 * .044 = 0.010032 .044 * .044 = 0.001936 Adding these values together: 0.012996 + 0.010032 + 0.001936 = 0.024964 Therefore, the value of .114 * .114 + 2 * .114 * .044 + .044 * .044 is approximately 0.024964
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