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Fractions and Decimals

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

2070
2077
2770
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.

9 2/3
5 2/3
2 2/3
7 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
When .36 is written in simplest fractional form, the sum of the numerator and the denominator is :

29
37
23
34

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.36 = 36 / 100 = 9 / 25. Sum of Numerator and Denominator = 9 + 25 = 34.

Fractions and Decimals
By how much is four-seventh of 560 greater than five-eighth of 400?

50
40
60
70

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have to find, the value of 4/7 of 560 - 5/8 of 400.4/7 x 560 - 5/8 x 400 = (4 x 80) - (5 x 50) = 320 - 250 = 70Hence, four-seventh of 560 is greater than five-eighth of 400 by 70.

Fractions and Decimals
(0.29)2 - (0.01)2/0.3 = ?

0.32
0.28
0.30
0.34

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28

Fractions and Decimals
From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/4 m long. What fraction of the whole will be left ?

1/4
1/5
1/3
1/2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4 

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