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Fractions and Decimals

Fractions and Decimals
Out of the fractions 4/7, 5/13, 6/11, 3/5 and 2/3 which is the second smallest fraction ?

6/11
4/7
3/5
5/13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4/7 = 0.57, 5/13 = 0.38, 6/11 = 0.54, 3/5 = 0.6 and 2/3 = 0.67Clearly, the second smallest fraction is 6/11

Fractions and Decimals
(.24 x .35 ) / (.14 x .15 x .02) is equal to ?

182
188
200
176

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(.24 x .35) / (.14 x .15 x .02)= (24 x 35 x 100 ) / (14 x 15 x 2)=200 

Fractions and Decimals
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

0.8
8
800
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8

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

16
14
20
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
Which of the following fractions is greater than 3/4 and less than 5/6?

2/3
9/10
1/2
4/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/4 = 0.75,  5/6= 0.833,  1/2= 0.5,   2/3= 0.66,4/5= 0.8,   9/10= 0.9. Clearly, 0.8 lies between 0.75 and 0.833.4/5 lies between 3/4 and 5/6. 

Fractions and Decimals
What decimal fraction is 40 ml of a litre ?

.004
.0004
.04
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required fraction = 40/1000= 4/100 = .04

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