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Fractions and Decimals

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

8
80
800
0.8

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
If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ?

.025
.00025
.0025
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025

Fractions and Decimals
The place value of 3 in 0.07359 is ?

0.0003
0.003
0.03
0.3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The place value of 3 in the given decimal fraction is .003 i.e. 3/1000.

Fractions and Decimals
( .803 x .647 + .803 x .353 ) = ?

803
.803
80.3
8.03

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = ( .803 x .647 + .803 x .353 )= 803 x (.647 + .353)= .803 x 1 = .803

Fractions and Decimals
If 1 / 3.718 = .2689, then the value of 1 / .0003718 is ?

268903
268
2689
26890

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1 / .003718 = 10000 / 3.718 = 10000 x ( 1/3.718)= 10000 x .2689 = 2689.

Fractions and Decimals
A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out this cloth ?

300
600
150
450

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of  each piece = (1/8) m = 0.125 mRequired no of pieces = (37.5/0.125) = (375 * 100) / 125 = 300.

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