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Fractions and Decimals

Fractions and Decimals
When 0.232323.... is converted into a fraction , then the result is

26/99
23/99
25/99
24/99

ANSWER DOWNLOAD EXAMIANS APP

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 ?

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

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 

Fractions and Decimals
(0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to :

4/3
6/3
7/3
5/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given = (0.2 * 0.2 + 0.01) / ( 0.1 * 0.1 + 0.02)= (0.04 + 0.01) / (0.01 + 0.02) = 0.05 / 0.03= 5/3...

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) = ?

.625
.0625
62.5
6.25

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
999.99 + 25.012 = ? - 174.469

56
215
14
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (999.99)/25.012 + 174.469 = (1000/25) + 174.469= (40 + 174.469) = 214.469 = 215

Fractions and Decimals
Which of the following fraction is greater than 4/5 and less than 6/7?

3/4
10/11
2/3
5/6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have to find X such that 4/5 < X < 6/7Converting each fraction into decimal form, we get:4/5 = 0.86/7 = 0.85We have to find the fraction which is greater than 0.8 and less than 0.85.Now,2/3 = 0.663/4 = 0.755/6 = 0.8310/11 = 0.91Clearly, 0.83 lies between 0.8 and 0.85.Required fraction is 5/6

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