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Fractions and Decimals

Fractions and Decimals
12.1212 + 17.0005 - 9.1102 = ?

2.00115
20.0115
2001.15
200.115

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression,= (12.1212 + 17.0005) - 9.1102= (29.1217 - 9.1102)= 20.0115.

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

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

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
If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ?

25
.0025
.025
.00025

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025

Fractions and Decimals
The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is :

0.36
0.56
0.86
0.46

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86

Fractions and Decimals
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

0.4096
0.004096
0.04096
4.096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096

Fractions and Decimals
? / .0025 = 800

2
4
3
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let k / .0025=800 Then, k = 800 x .0025= ( 800 x 25 ) / 10000 = 2

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