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Fractions and Decimals

Fractions and Decimals
(0.29)2 - (0.01)2/0.3 = ?

0.32
0.34
0.30
0.28

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28

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

5/8 < 7/12 < 13/16 < 3/
5/8 < 3/4 < 13/16 < 7/12
5/8 < 7/12 < 3/4 < 13/16
7/12 < 5/8 < 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
0.8 x ? =0.0004

0.005
0.0005
0.05
0.00005

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 0.8y = 0.0004Then,y = 0.0004 / 0.8 = 0.004 / 8= .0005

Fractions and Decimals
6 x 0.6 x 0.06 x 0.006 x 60 = ?

7.776
0.07776
77.76
0.7776

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 6 x 6/10 x 6/100 x 6/1000 x 60 = 77760/1000000                  = 7776/100000 = 0.07776

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

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

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
3420 / 19 = ( ? / 0.01) x 7

9/40
9/45
9/30
9/35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 3420 / 19 = (y / 0.01) x 7Then , y = ( 3420 / 19) x (0.01 / 7) = 180 / 700 = 9/35

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