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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 ?

4/7
6/11
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
6 x 0.6 x 0.06 x 0.006 x 60 = ?

0.7776
77.76
0.07776
7.776

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
[(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ?

1
2
0
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = [(a - b)² + (a + b)²] / (a²+ b²) (Where a = 3.537 and b = 0.948)= 2(a² +b²) / (a² +b²) = 2

Fractions and Decimals
The rational for the recurring decimal 0.125125......is

None of these
125/9
125/99
125/999

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.125125...... = 0.125 =   125/999.

Fractions and Decimals
16.7 + 12.38 - ? =10.09

16.99
20.99
14.99
18.99

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 16.7 + 12.38 - x =10.09∴ x = 16.7 + 12.38 - 10.09 = 18.99

Fractions and Decimals
If two-third of two-seventh of a number is 60, then two-fifteenth of that number is

56
34
71
42

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be X.Then 2/3 x 2/7 x X =60X = 60 x 7 x 3 / 4 = 315Then, 2/15 of 315 = 2/15 x 315 = 42.Hence the required number is 42

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