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Fractions and Decimals

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

5/7
11/13
9/11
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
What should be subtracted from the multiplication of 0.527 and 2.013 to get 1 ?

6085.1
0.060851
60.851
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

800
8
80
0.8

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
51.3 + 7.078 +1.38 + 0.9 = ?

50.658
80.658
70.658
60.658

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

51.300 + 7.078 + 1.380 + 0.900 = 60.658

Fractions and Decimals
0.008 x 0.3 = ? a) 0.24 b) 0.0240 c) 0.204 d) 0.0024

0.00024
0.24
0.0024
0.024

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression is, 0.008 x 0.3The multiplication value without decimal point = 8 x 3 = 24Sum of the number of decimal places in the given numbers = 3 + 1 = 4Now, in the product, the decimal point is marked off to obtain as many places of decimal.Then the answer is 0.0024.

Fractions and Decimals
(1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) = ?

0
1
3
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (1.04)² + 1.04 x 0.04 + (0.04)² / (1.04)³ - (0.04)³= (a² + ab + b²) / (a³ - b³) = (a² + ab + b²) / [(a-b) (a² + ab + b²)]= 1 / (a - b)= 1/ (1.04 - 0.04) = 1

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