Number, Decimals & Fractions Questions and Answers

Number, Decimals & Fractions Questions

Formula

Definition of Number, Decimals & Fractions

A fraction where the denominator is 10 or even it is 102,103 or more that is the power of 10 is referred as the decimal fraction, such as 3/10, 3/100, they can be characterized as 0.3, 0.03 or more. The decimals have two types, and those are:

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.

Recurring decimal or non-terminating decimal

It can be said from the name itself that signifies the number which do not reappear 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…

Rules

There are certain rules and principles associated with the topic of decimals and fractions in the field of mathematics. The problems based on the same are asked in a number of competitive examinations. Although, it is a simple topic but still remain confusing. The rules mentioned below will help you get insights about the topic:
  • Two fractions are equivalent when they represent the same number. For example: 2/8 and 4/16 are equivalent, because they both equal 0.25.
  • When both the numerator and the denominator can be divided evenly by the same number, the fraction can be simplified into its lowest terms (the smallest equivalent fraction). The largest number that both the numerator and the denominator can be divided by is called the greatest common factor (GCF) or greatest common divisor (GCD). Dividing both by the GCD simplifies the fraction into its lowest form.
  • For example, 2 is the greatest common factor of both 2 and 8. For the fraction 2/8, when you divide the numerator and the denominator by 2, you get 1/4—the lowest or most simplified form of the fraction.
  • When dealing with fractions in equations, you almost always want them to be in their simplest forms, so that they’re easier to do calculations with.

Question 1

Time: 00:00:00
What least number is there on the place of * so that the number 11300*63504 is divisible by 11?

4

4

2

2

3

3

Zero

Zero

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Question 2

Time: 00:00:00
Find the number that will be divided by 0.000072 to obtain the answer as 0.0002?

36

36

0.36

0.36

3.6

3.6

.0036

.0036

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Question 3

Time: 00:00:00
What percent of 1000.008 is 10320.408?

1130.25%

1130.25%

1032.032%

1032.032%

1030%

1030%

.1032%

.1032%

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Question 4

Time: 00:00:00
Find the value of x in the given expression: 310420/1009= x/ 0.0075

1.8

1.8

2.30

2.30

3.5

3.5

None of the above

None of the above

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Question 5

Time: 00:00:00
If 122.21x = 0.00122y, then find the value of ((y - x) / (y + x)).

6110500/611439

6110500/611439

6110439/6110561

6110439/6110561

6110561/6110500

6110561/6110500

None of the above

None of the above

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Question 6

Time: 00:00:00
What least number is there on the place of * so that the number 9041705*4 is divisible by 7?

2

2

3

3

5

5

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Question 7

Time: 00:00:00
Find the sum of all the prime number between 10000 and 10100?

110424

110424

110648

110648

110651

110651

110650

110650

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Question 8

Time: 00:00:00
A number is as much greater than 5001 as it is less than 10001. Find the number.

7741

7741

7501

7501

7546

7546

7549

7549

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Question 9

Time: 00:00:00
Eleven thirtieth of a number is 12 more than one fifth of a number. Find the number.

45

45

60

60

55

55

72

72

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Question 10

Time: 00:00:00
Find the value of .114*.114+2*.114*.044+.044*.044

0.3069

0.3069

0.2012

0.2012

1.3069

1.3069

30.69

30.69

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Question 11

Time: 00:00:00
If Mayur buys 10 more pen, his box will weigh 5.2 kilograms. If the weight of one pen is 50 grams. How many pens did he initially had in his box?

41

41

52

52

94

94

47

47