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Fractions and Decimals

Fractions and Decimals
What decimal fraction is 40 ml of a litre ?

.004
.04
.0004
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required fraction = 40/1000= 4/100 = .04

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

1083.578
883.578
983.578
1183.578

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
By how much is 12% of 24.2 more than 10% of 14.2 ?

1.884
1.684
1.484
1.284

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required difference = (12 x 24.2) / 100 - (10 x 14.2) / 100= 2.904 -1.42 = 1.484

Fractions and Decimals
(0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) = ?

0.14
0.014
14
1.4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]= [a³ - b³ ] / [ a² + ab + b²] = [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]= (a - b) = (0.47 - 0.33) = 0.14

Fractions and Decimals
[(0.87)³ + (0.13)³] / [(0.87)² - 0.87 x 0.13 + (0.13)²] = ?

2
1
3
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = ( a³ + b³ )/ (a² + b² - ab) where = 0.87 and b = 0.13= [(a + b ) (a² + b² - ab)] / (a² + b² - ab) = a + b = 0.87 + 0.13= 1

Fractions and Decimals
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

4.096
0.4096
0.04096
0.004096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096

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