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Fractions and Decimals

Fractions and Decimals
Which of the following fraction is the smallest ?

11/13
5/7
3/7
9/11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .

Fractions and Decimals
( 20 + 8 x 0.5 ) / ( 20 - ? ) = 12

14
20
16
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let (20 + 8 x 0.5) / ( 20 - y) =12Then, 24 =12 x (20 - y)∴ 12y = 216⇒ y = 18

Fractions and Decimals
Arrange the fractions in ascending order: 3/4, 5/8, 7/12, 13/16

5/8 < 3/4 < 13/16 < 7/12
7/12 < 5/8 < 3/4 < 13/16
5/8 < 7/12 < 13/16 < 3/
5/8 < 7/12 < 3/4 < 13/16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5/8 = .625,7/12 = .5833, 3/4 = .75,13/16 = .8125So order will be 7/12 < 5/8 < 3/4 < 13/16

Fractions and Decimals
5 x 0.25 x 6.301 x 0.00394=?

31.0324250
0.0310324250
0.310324250
3.10324250

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here 5 x 25 x 6301 x 394=310324250Total decimal places = (2+3+5) = 10 ∴ 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250

Fractions and Decimals
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction.

5 2/3
2 2/3
9 2/3
7 2/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the required fraction be P According to the question (P x P) / (1/P) = 18 26/27⇒ P³ = 512/27∴ P = 8/3 = 2 2/3

Fractions and Decimals
0.008 x 0.3 = ? a) 0.24 b) 0.0240 c) 0.204 d) 0.0024

0.0024
0.00024
0.024
0.24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression is, 0.008 x 0.3The multiplication value without decimal point = 8 x 3 = 24Sum of the number of decimal places in the given numbers = 3 + 1 = 4Now, in the product, the decimal point is marked off to obtain as many places of decimal.Then the answer is 0.0024.

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