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Fractions and Decimals

Fractions and Decimals
3 x 0.3 x 0.03 x 0.003 x 30=?

0.02430
2.430
0.2430
0.002430

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 x 3 x 3 x 3 x 30 = 2430 ∴ 3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 (Six places of decimal

Fractions and Decimals
[(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ?

3
1
2
0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = [(a - b)² + (a + b)²] / (a²+ b²) (Where a = 3.537 and b = 0.948)= 2(a² +b²) / (a² +b²) = 2

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

.025
.00025
25
.0025

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
Find the value of 1/3 + 1/15 + 1/35 + 1/63 + 1/99 .

10/11
5/11
9/11
7/11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/3 + 1/15 + 1/35 + 1/63 + 1/99= [1/3 + 1/15] + 1/35 + 1/63 + 1/99 = [6/15 + 1/35] + 1/63 + 1/99= 45/105 + 1/63 + 1/99 = [3/7 + 1/63] + 1/99= 28/63 + 1/99 = 4/9 + 1/99= 44 + 1/99 = 45/99 = 5/11

Fractions and Decimals
If √15 = 3.88, the value of √5/3 is ?

1290
1.29
129
12.9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√5/3 = √15/9= √15/3= 3.88/3 = 1.29

Fractions and Decimals
Which of the following fraction is the smallest ?

3/7
11/13
9/11
5/7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .

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