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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 ) = ?

11
1.1
11.1
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
If 12276 / 155 = 79.2 the value of 122.76 / 15.5 is ?

7.92
0.792
792
79.2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

122.76 / 15.50 = 12276/1550= (12276 / 155) x (1/10) = 79.2 / 10 = 7.92

Fractions and Decimals
When 52416 divided by 312 , the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168 ?

312
31200
312000
3120

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given, 52416 / 312 = 168.<=>  52416 / 168 = 312.52.416 / 0.0168 = 524160 / 168 = 3120.

Fractions and Decimals
If x/y = 0.3, then (2x - y)/(2x + y) = ?

0.15
0.5
0.5
0.25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x = 0.3y Then, (y - 2x)/(y + 2x)= y - 2(0.3y)/y + 2(0.3y)= y - 0.6y/y + 0.6y= 0.4y/1.6y= 0.4/1.6 = 0.25

Fractions and Decimals
3420 / 19 = ( ? / 0.01) x 7

9/35
9/45
9/40
9/30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 3420 / 19 = (y / 0.01) x 7Then , y = ( 3420 / 19) x (0.01 / 7) = 180 / 700 = 9/35

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

1.12
0.0112
11.2
.112

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

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