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Fractions and Decimals

Fractions and Decimals
Evaluate : [(2.39)² - (1.61)²] / [2.39 - 1.61]

2
6
4
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression=(a² - b²) / (a - b)=[(a + b)(a - b)] / (a - b)= (a + b)= (2.39 + 1.61)= 4 

Fractions and Decimals
3.5 + 21 x 1.3 = ?

26.8
30.8
24.8
28.8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = 3.5 + 21 x 1.3 = 3.5 + 27.3 = Given Expression = 3.5 + 21 x 1.3 = 3.5 + 27.3 = 30.8

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

2770
2070
2077
207

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction.

2 2/3
5 2/3
7 2/3
9 2/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the required fraction be P According to the question (P x P) / (1/P) = 18 26/27⇒ P³ = 512/27∴ P = 8/3 = 2 2/3

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) = ?

6.25
.625
62.5
.0625

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
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

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