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Fractions and Decimals

Fractions and Decimals
51.3 + 7.078 +1.38 + 0.9 = ?

70.658
80.658
60.658
50.658

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

51.300 + 7.078 + 1.380 + 0.900 = 60.658

Fractions and Decimals
The rational number for recurring decimal 0.125125.... is:

125/99
125/999
125/1000
125/100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

                           _0.125125... = 0.125 =125/999

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

2
3
0
1

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
Which of the following fraction is the largest?

16/21
18/23
8/9
14/17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Converting the given fractions into decimal form, we have,8/9 = 0.8818/23 = 0.7816/21 = 0.7614/17 = 0.82From the above, 0.88 is the largest.Corresponding fraction is 8/9.

Fractions and Decimals
(.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) = ?

.0625
62.5
.625
6.25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(.356)² -2 x .356 x .106 + (.106)²] / [(.632)²+2 x .632 x .368 +(.368)²]= (a² -2ab + b²) / (c²+2cd+d²)= (a - b)² / (c + d)²= (.356 -.106)² / (.632 + .368)²= (.25)² = .0625

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

4.096
0.004096
0.04096
0.4096

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

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