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Fractions and Decimals

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

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

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
What should be subtracted from the multiplication of 0.527 and 2.013 to get 1 ?

None of these
0.060851
6085.1
60.851

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 0.527 x 2.013 = 1.060851Hence, the required number = 1.060851 - 1 = 0.060851.

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

0.7776
0.07776
7.776
77.76

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
9.724 ÷ 100 = ?

0.9724
0.09724
9.724
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

9.724 ÷ 100 = 0.09724Shift decimal two palaces to the left. i.e 100

Fractions and Decimals
(.23 - .023) / ( .0023 / 23 ) = ?

2070
2770
2077
207

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (.23 - .023) / ( .0023 / 23 ) = .207 / (.0023 / 23) = .207 / .0001=.2070 / .0001 = 2070

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

0.28
0.30
0.32
0.34

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

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