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Fractions and Decimals

Fractions and Decimals
(0.16)² - (0.12)² = ?

.112
11.2
1.12
0.0112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = a² - b² = (a + b)(a - b)Hence, (0.16)² - (0.12)²= (0.16 + 0.12)(0.16 - 0.12)= 0.28 x 0.04 = 0.0112

Fractions and Decimals
The value of (489.1375 x 0.0483 x 1.956) / (0.0873 x 92.581 x 99.749) is closest to:

6
0.6
0.06
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(489.1375 x 0.0483 x 1.956) / (0.0873 x 92.581 x 99.749)= (489 x 0.05 x 2) / (0.09 x 93 x 100)= 489 / (9 x 93 x 10)= (163 / 279) x (1 / 10)= 0.58 / 10= 0.058  or 0.06

Fractions and Decimals
9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ?

2.22
3.33
4.44
1.11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (9.99 x 9.9 x 9)/(9.9 x 0.9 x 0.3) = 3.33

Fractions and Decimals
6 x 0.6 x 0.06 x 0.006 x 60 = ?

0.7776
0.07776
77.76
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
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.

9 2/3
7 2/3
2 2/3
5 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
The rational number for recurring decimal 0.125125.... is:

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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