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Fractions and Decimals

Fractions and Decimals
(4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4) = ?

30
10
5
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4)  = 4.5 x (3.7 + 6.3)/1.5 x (8.4 - 7.4)     = 4.5 x 10/1.5 x 1 = 30

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

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

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
The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is :

0.36
0.46
0.56
0.86

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86

Fractions and Decimals
The greatest fraction out of 2/5, 5/6, 11/12 and 7/8 is ?

11/12
7/8
5/6
2/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2/5 = 0.4 , 5/6 = 0.833, 11/12 = 0.916 and 7/8 = 0.875Clearly, the greatest fraction is 0.916, i, e . 11/12.

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

0.0310324250
0.310324250
3.10324250
31.0324250

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

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

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

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