# Decimal Fraction Question with Solution

## Decimal Fraction Question

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.

## Types of Decimal and Fraction

The decimals is of two types :

• Non recurring decimal or terminating decimal

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

• Recurring decimal or non-terminating decimal

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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### Decimal Fraction Question with Solution

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

5

80.38%

10

10

8.59%

15

15

5.7%

20

20

5.32%

Let, the number be z, Then,
8z – 18 = 2z + 12
⇒ 6z = 30 ⇔ z = 5.
Hence, the required number is 5.

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

65

10.61%

68

68

13.61%

70.8

70.8

9.65%

76.2

76.2

66.13%

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%

1130.25%

5.78%

1032.032%

1032.032%

71.2%

1030%

1030%

6.75%

1032%

1032%

16.27%

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

1.8

5.75%

2.30

2.30

76.62%

3.5

3.5

12.97%

None of the above

None of the above

4.65%

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

36.33%

6110439/6110561

6110439/6110561

38.63%

6110561/6110500

6110561/6110500

16.69%

None of the above

None of the above

8.35%

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

3

11.56%

2

2

14.69%

4

4

7.48%

5

5

66.26%

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

110424

9.61%

110648

110648

11.65%

110651

110651

69.87%

110650

110650

8.87%

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

7741

15.2%

7501

7501

73.1%

7546

7546

5.26%

7549

7549

6.43%

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

45

8.06%

60

60

12.42%

55

55

7.26%

72

72

72.26%

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

0.024964

63.29%

0.201232

0.201232

18.18%

1.306956

1.306956

10.31%

30.69

30.69

8.22%

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
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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