2/3 as a decimal 0.47 6.77 0.67 0.07 To convert a fraction into decimal, just ta

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Home ‣ Aptitude ‣ Decimal Fraction Comments

Question
2/3 as a decimal
Options
A. 0.47
B. 6.77
C. 0.67
D. 0.07

Correct Answer

0.67

Explanation

To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator.

2/3

How it comes :

$2 � 3 = 0$ bring down the decimal point.

$20 � 3 = 6$ and carry the remainder $2$ to make $20$

etc...

This gives the recurring decimal 0.6666...

If we round off to two decimals , then it becomes 0.67.

Hence, decimal fraction of 2/3 = 0.67.

Decimal Fraction problems

Search Results

1. 16, 33, 65, 131, 261, (....)
Options
A. 523
B. 521
C. 613
D. 721

Discuss

Correct Answer: 523

Explanation:

Each number is twice the preceding one with 1 added or subtracted alternatively.

So, the next number is (2 x 261 + 1) = 523.

2. Arrange the fractions in ascending order
Options
A. 5/8 < 7/12 < 3/4 < 13/16
B. 5/8 < 7/12 < 13/16 < 3/4
C. 5/8 < 3/4 < 13/16 < 7/12
D. 7/12 < 5/8 < 3/4 < 13/16

Discuss

Correct Answer: 7/12 < 5/8 < 3/4 < 13/16

Explanation:

5/8 = .625, 7/12 = .5833, 3/4 = .75, 13/16 = .8125

So order will be
7/12 < 5/8 < 3/4 < 13/16

3. 3/5 as a decimal fraction?
Options
A. 0.25
B. 0.45
C. 0.60
D. 0.75

Discuss

Correct Answer: 0.60

Explanation:

Given fraction is 3/5

Now, multiply with 2 for numerator and denominator

we get,

3/5 x 2/2 = 6/10

When we divide, 6 with 10, we get 0.6 as quotient.

Hence, 3/5 as a decimal fraction is 0.6.

4. Which of the following fraction is the largest?
Options
A. 7/12
B. 9/16
C. 13/20
D. 32/80

Discuss

Correct Answer: 7/12

Explanation:

Here to say which fraction is greater from the given options, the fraction with greater numerator with same denominator or smaller denominator with same numerator.

To find the greater fraction, among the given options, make the denominators same for the options by finding the LCM of all the denominators.

7/12, 9/16, 13/20, 32/80

Now, LCM of 12, 16, 20, 80 = 240.

Then,

140/240, 135/240, 156/240, 96/240

Here

$\frac{156}{240} > \frac{140}{240} > \frac{135}{240} > \frac{96}{240} = > \frac{13}{20} > \frac{7}{12} > \frac{9}{16} > \frac{32}{80}$

Hence, largest fraction = 13/20.

5. 3/8 as a decimal
Options
A. 1.375
B. 2.375
C. 0.375
D. 3.75

Discuss

Correct Answer: 0.375

Explanation:

Expressing 3/8 as a decimal fraction:

We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts.

Then, it is 3/8 = 0.375 as a decimal fraction.

Other Method::

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

=> ( $\frac{3 x 125}{8 x 125} = \frac{375}{1000} = 0.375$

6. Which of the following is a reductible fraction?
Options
A. 79/26
B. 105/112
C. 41/17
D. 91/15

Discuss

Correct Answer: 105/112

7. The sum of a non-zero number and 4 times its reciprocal is 17/2. What is the number?
Options
A. 8
B. 12
C. 16
D. 4

Discuss

Correct Answer: 8

8. A fraction is greater than its reciprocal by 9/20. What is the fraction?
Options
A. 5/4
B. 4/5
C. 3/4
D. 4/3

Discuss

Correct Answer: 5/4

9. A fraction is greater than twice its reciprocal by 7/15. What is the fraction?
Options
A. 3/5
B. 5/3
C. 3/4
D. 4/3

Discuss

Correct Answer: 5/3

10. Which of the fractions given below, when added to 5/8, gives 1?
Options
A. 6/16
B. 5/2
C. 6/24
D. 6/3

Discuss

Correct Answer: 6/16

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