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Fractions and Decimals

Fractions and Decimals
[{(0.1)² - (0.01)²} / {0.0001 + 1 }] is equal to ?

25
75
100
50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (0.01 - 0.0001) / (0.00001 + 1)= (.0099 / .0001) + 1 = 99 + 1= 100

Fractions and Decimals
When .36 is written in simplest fractional form, the sum of the numerator and the denominator is :

37
23
29
34

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.36 = 36 / 100 = 9 / 25. Sum of Numerator and Denominator = 9 + 25 = 34.

Fractions and Decimals
When 0.232323.... is converted into a fraction , then the result is

25/99
26/99
24/99
23/99

ANSWER DOWNLOAD EXAMIANS APP

Fractions and Decimals
Which of the following fraction is greater than 4/5 and less than 6/7?

3/4
5/6
10/11
2/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have to find X such that 4/5 < X < 6/7Converting each fraction into decimal form, we get:4/5 = 0.86/7 = 0.85We have to find the fraction which is greater than 0.8 and less than 0.85.Now,2/3 = 0.663/4 = 0.755/6 = 0.8310/11 = 0.91Clearly, 0.83 lies between 0.8 and 0.85.Required fraction is 5/6

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
(0.16)² - (0.12)² = ?

11.2
.112
0.0112
1.12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = a² - b² = (a + b)(a - b)Hence, (0.16)² - (0.12)²= (0.16 + 0.12)(0.16 - 0.12)= 0.28 x 0.04 = 0.0112

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