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Fractions and Decimals

Fractions and Decimals
(.538 x .538 - .462 x .462) / (1-.924) = ?

31
21
11
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [ (.538)² - (.462)² ] / .076 = [(.538 + .462)(.538 - .462)] /.076=.076 / .076 = 1

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

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

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
( 20 + 8 x 0.5 ) / ( 20 - ? ) = 12

14
20
16
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let (20 + 8 x 0.5) / ( 20 - y) =12Then, 24 =12 x (20 - y)∴ 12y = 216⇒ y = 18

Fractions and Decimals
475.124 x 15.98 ÷ 8.001 + 33.33 = ?

1183.578
883.578
983.578
1083.578

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 475.124 x (15.98 ÷ 8.001) + 33.33= (475.124 x 16/8) + 33.33 = 950.248 + 33.33 = 983.578

Fractions and Decimals
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

80
0.8
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
(44.99)² - (15.01)² = ?

700
1100
1500
1800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800

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