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Fractions and Decimals

Fractions and Decimals
( 0.5 x 0.5 x 0.5 x 0.6 x 0.6 x 0.6 ) / ( 0.5 x 0.5 - 0.3 + 0.6 x 0.6 ) = ?

1.1
11.1
11
111.1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.6)³ ] / [(0.5)² - 0.5 x 0.6 + (0.6)²]= (a³+b³) / ( a²-ab+b²)= a + b= 0.5 + 0.6= 1.1

Fractions and Decimals
The fraction ( 101 * 27/100000 ) in decimal form is :

10100.027.
1010.0027
101000.27
101.00027

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

101 * 27 / 100000 = 101 + 27 / 100000 = 101 + .00027 = 101.00027.

Fractions and Decimals
13.03 x 0.0001 = ?

0.0240
0.0024
0.204
0.24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression is, 0.008 x 0.3The multiplication value without decimal point = 8 x 3 = 24Sum of the number of decimal places in the given numbers = 3 + 1 = 4Now, in the product, the decimal point is marked off to obtain as many places of decimal.Then the answer is 0.0024.

Fractions and Decimals
? % of 10.8 =32.4

600
100
500
300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let k % of 10.8=32.4 ⇒ (k x 10.8) / 100 = 32.4⇒ k = (32.4 x 100 )/10.8 = 300

Fractions and Decimals
( .009 / ?) = .01

0.9
0.09
0.009
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let .009 / x = .01;   Then x = .009 / .01=.9 / 1= .9

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

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