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Fractions and Decimals

Fractions and Decimals
138.009 + 341.981 - 146.305 = 123.6 + ?

21.0085
210.085
2.10085
21.0085

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 138.009 + 341.981 - 146.305 = 123.6 + zThen, z = (138.09+341.981) - (146.305+123.6)= 479.99 - 269.905 = 210.085

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
5 2/3
2 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
[(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ?

1
2
3
0

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
13.03 x 0.0001 = ?

0.0024
0.204
0.0240
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
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

80
8
0.8
800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8

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
111.1
11
11.1

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

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