# Decimals and Fractions Questions ## Definition of Decimals and Fractions

A fraction can be discussed as the visual illustration of a value divided by other digit. The number at the upper side of the fraction is known the numerator, it is also the digit which is being divided. The number at the lower side is known as the denominator, it is the number which is to be divided to the top digit or the numerator. Decimals as well as fractions are two methods of illustrating the values of the number among the integers or the whole numbers. Taking of the decimal system, the expanse from the decimal point signifies the place value of every digit.

### 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. Though, it is an easy topic yet remains confusing due to the types of problems formed on the same. The rules mentioned below will help you get insights about the topic:
• The zero rule of decimal states that after the decimal point passes, one can insert an endless number of zeros after the number.
• For adding or subtracting two decimals, the each place of the decimal is required to be in line. The zeroes rule can be used when one value has less digits to the after decimal place as compared to the other.
• While you multiply the decimals, you should not set the decimal points in line: the decimal needs to put in later. As an alternative, by multiplying the two values as if it was a whole number. When we get the answer by multiplying, it is time to place the decimal back at its place.
• The decimals can be expressed as fractions with the help of the following steps:
• Shift the decimal point to as many spaces to the right side till it converts into a whole number.
• Then, make that whole number as a numerator.
• Give the denominator the ten’s power which will further correspond to as many spaces you shift the decimal to.
• Two fractions are equal when they signify the similar values. For instance, 2/8 as well as 4/16 are equal, since they both results in delivering the decimal 0.25.
• When the denominator as well as the numerator be able to be divided consistently by the similar value, the fraction can be shortened or lowered into its lowermost numbers (the minimum or least equal fraction).
• The biggest value that individually the numerator along with the denominator could potentially be divided by is known as the greatest common factor or GCF as well as greatest common divisor or GCD. By dividing both with the GCD shortens and reduces the fraction in its lowermost form.
• While answering the fractions in equivalences, it is important to make sure that they are in their reduced or lowest figures, to make the calculations easier using the lowest digits.

Question 1 Time: 00:00:00
Arrange the fractions in their descending order.$\frac{4}{5}$,$\frac{3}{2}$,$\frac{7}{9}$,$\frac{8}{7}$ $\frac{3}{2}>,\frac {8}{7}>,\frac {4}{5}>,\frac {7}{9}$

$\frac{3}{2}>,\frac {8}{7}>,\frac {4}{5}>,\frac {7}{9}$

$\frac{7}{9}> \frac {8}{7}> \frac {4}{5}>\frac {3}{2}$

$\frac{7}{9}> \frac {8}{7}> \frac {4}{5}>\frac {3}{2}$

$\frac{3}{2}> \frac {4}{5}> \frac {8}{7}>\frac {7}{9}$

$\frac{3}{2}> \frac {4}{5}> \frac {8}{7}>\frac {7}{9}$

None of the above

None of the above

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Question 2 Time: 00:00:00
Evaluate the value of $2.5^{2}-1.2{2}$/2.5 – 1.2. 3.7

3.7

6.2

6.2

8.0

8.0

7.5

7.5

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Question 3 Time: 00:00:00
Arrange the fractions in ascending order $\frac{5}{2},\frac{8}{3},\frac{4}{3},\frac{9}{7}$ $\frac{8}{3}>,\frac {4}{3}>,\frac {5}{2}>,\frac {9}{7}$

$\frac{8}{3}>,\frac {4}{3}>,\frac {5}{2}>,\frac {9}{7}$

$\frac{9}{7}>,\frac {5}{2}>,\frac {4}{3}>,\frac {8}{3}$

$\frac{9}{7}>,\frac {5}{2}>,\frac {4}{3}>,\frac {8}{3}$

$\frac{9}{7}>,\frac {4}{3}>,\frac {5}{2}>,\frac {8}{3}$

$\frac{9}{7}>,\frac {4}{3}>,\frac {5}{2}>,\frac {8}{3}$

None of the above

None of the above

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Question 4 Time: 00:00:00
If the value of 300 ÷ 11.2 is 26.78, then what will be the value of 3.00 ÷ 0.112? 3.5

3.5

2.897

2.897

2.678

2.678

3.9

3.9

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Question 5 Time: 00:00:00
Evaluate the value of 569.23 + 5789.36 + 569.32. 6900.36

6900.36

6958.32

6958.32

6927.91

6927.91

None of the above

None of the above

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Question 6 Time: 00:00:00
What number will replace the “?” mark in the given equation?

5712.63 + 325.365 + ? = 6403.885 369.23

369.23

365.89

365.89

663.89

663.89

None of the above

None of the above

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Question 7 Time: 00:00:00
Find the product of the given decimal numbers 2.69 x 1.69. 4.5461

4.5461

45.461

45.461

23.697

23.697

4.56987

4.56987

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Question 8 Time: 00:00:00
Evaluate the value of 25 ÷ 0.5. 75

75

50

50

75

75

80

80

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Question 9 Time: 00:00:00
Calculate the value of (0.25)3 – (0.1)3/ (0.25)2+ (0.25 x 0.1) + (0.1)2. 0.15

0.15

1.15

1.15

0.015

0.015

None of the above

None of the above

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Question 10 Time: 00:00:00
Which of the given fractions is greater than $\frac{2}{7}$ and less than $\frac{5}{7}$ ? $\frac{3}{7}$

$\frac{3}{7}$

$\frac{7}{11}$

$\frac{7}{11}$

$\frac{3}{9}$

$\frac{3}{9}$

All of the above

All of the above

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Question 11 Time: 00:00:00
Calculate the value of x from the given expression 4589 + 13.684 - ? = 4346.684 256

256

300

300

250

250

270

270

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Question 12 Time: 00:00:00
If $\frac{255}{0.255} = \frac{25.5}{x}$, then calculate the value of x. 0.364

0.364

0.255

0.255

1.235

1.235

0.365

0.365

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Question 13 Time: 00:00:00
The price of Red gravel increases by 20 paise per year, on the other hand, the price of white gravel increases by 10 paise every year. If the price of Red gravel in year 2010 was Rs. 2.20 and that of white gavel was Rs. 4.30. Calculate the year in which red gravel will cost 20 paise more than white gravel. 56

56

55

55

23

23

14

14