Decimals and Fractions Questions and Answers

When the fractions are converted into decimals
4/5 = 0.8
3/2 = 1.5
7/9 = 0.7
8/7 = 1.14

The descending order is, 1.5, 1.14, 0.8, and 0.7
Therefore, the descending order is 3/2>8/7>4/5>7/9

\frac {2.5^{2}-1.2^{2}}{2.5 – 1.2.}
As we know that a^{2}-b^{2}=(a+b)(a-b)
\frac{(2.5-1.2)(2.5+1.2)}{(2.5-1.2)}
2.5 + 1.2
3.7

Converting the fractions into decimals.
5/2 = 2.5
8/3 = 2.6
4/3 = 1.3
9/7 = 1.2
Ascending order of decimals = 1.2 > 1.3 > 2.5 > 2.6
Therefore, ascending order of fractions = 9/7>4/3>5/2>8/3.

300/11.2 = 26.78

When we divide the numerator and denominator by 10, we get
30.0/1.12 = 26.78

When we divide LHS and RHS by 10, we get

3.00/0.112 = 2.678

569.23 + 5789.36 +569.32 = 6927.91

5712.63 + 325.365 + ? = 6403.885

=> (5712.63 + 325.365) + ? = 6403.885

=> 6037.995 + ? = 6403.885

=> ? = 6403.885 - 6037.995

=> ? = 365.89

In the multiplication of two decimal numbers, simple multiplication is done, and the number of decimal places is counted and updated.

• 2.69 x 1.69


• 269 x 169


• 45461


• Now we add the total number of decimal places to be added in the final answer.


• 2 + 2 = 4


• Final answer = 4.5461

25 ÷ 0.5
25/0.5
25x10/5
50

= a³ – b³/ a² + ab + b²

= (a-b)

= (0.25 – 0.1)
= 0.15

The values of the given fractions in the question are as under
2/7 = 0.28
5/7 = 0.71
The value of the fraction must lie between these two values.
From the options, we calculate the value of fractions
3/7 = 0.42
3/9 = 0.33
7/11 = 0.63

Hence, we can say that all of these values lie between the given fractions.
Therefore, the answer is all of the above.

• 4589 + 13.684 - x = 4346.684


• (4589 + 13.684) - x = 4346.684


• 4602.684 - x = 4346.684


• x = 4602.684 – 4346.684


• x = 256

255/0.255 = 25.5/x
(255x 100)/255 = 25.5/x
x = 25.5/100
x= 0.255

• We assume that Red gravel will cost 20 paise more than white gavel after z years.


• Then, we can say,


• (2.20+ 0.20z) – (4.30 + 0.10z) = 0.20


• 2.20 + 0.20z – 4.30 – 0.10z = 0.20


• 2.20 -4.30 + 0.10z = 0.20


• -2.1 + 0.10z = 0.20


• 0.10z = 0.20+2.1


• 0.10z= 2.3


• Z= 23

0.2323 = 2323/10000

Let us assume the number as x

1/3 * 1/4 * ½ * x = 12

x = 12 * 3 * 4 * 2

x = 288

.125 * .125 + 2 * .125 * .230 + .230 * .230

can be written in expression (a² + 2ab + b²)

a = .125

b = .230

(a² + 2ab + b²) = (a+ b)²

= (.125 + .230)² = (0.355)² = 0.126

Weight of 1 apple = 300 g
Weight of 5 mangoes = 300 * 5
= 1.5 kg
Initial weight = 20 – 1.5
= 18.5 kg
Number of mangoes in her box initially = 18500/300

= 61 apples

x/5 = (x-20)
4x = 100
x = 25

2 * 2 * 2 * 2 * 20 = 320. Sum of decimal places = 6

Therefore, 2 * 0.2 * 0.02 * 0.002 * 20

= 0.000320

Length of each piece = (1/10) = 0.1

Therefore, total pieces of cloth from 53.5m = (53.5/0.1)

= 535 pieces

3.036/0.03 = 3036/30

= 101.2

51 - .301= 50.699

27.05 * x = 50.699

x = 50.699/27.05

x = 1.8742

30.5/5230 = 305/52300

= 61/10460

= 0.005831

= 1/2.569 = 10000/2.569
Given, 1/2.569 = .3891
Then, 10000 * 0.3891
= 3891

676 + 06.76 + ⎷0.0676 + ⎷0.000676
= 676 + ⎷676/100 + ⎷676/10000 + ⎷676/1000000
= 676 + 26/10 + 26/100 + 26/1000
= 676 + 2.6+ 0.26 + 0.036
= 678.89

Total decimal places = 6
As the last digit to the right is zero ( 5 * 6 = 30) Therefore, 5 digits will be there to the right.

0.95 = 95/100
19/20

On converting the fraction into decimal we get the value as, 1.5, 0.77, 0.71, 0.28.
So, the smallest number is 0.71 and the largest number is 1.5.
Difference = 1.5- 0.71 = 0.79
0.79 = 79/100

We can write the equation in the form:

• (a³ + b³) = (a+b) * (a² + b² – ab)


• (10.2)³ + (1)³ / ((10.2)² + (1)³ – (1 * 10.2))


• (10.2)³ + (1)³ / ((10.2)² + (1)³ – (1 * 10.2))


• a + b = 10.2 + 1


• 2

5 * 2 = 10

Sum of decimal = 4

Therefore, 0.005 * 0.2 = 0.0010