Express 3/8 and 1/10 as a Decimals?

Correct Answer: 0.125

Explanation:

Here   1 8 in decimal means 8th part in 1.

We know that  1 10 = 0.1

Then,    1 8 = ?

=>  $$\begin{gathered} ? = 1 8 x 0 . 1 1 10 \\ = 0 . 1 x 10 8 \\ = 0 . 5 4 \\ 1 8 = 0 . 125 \end{gathered}$$

Correct Answer: 8

Explanation:

Let x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83

Missing digit = 8..

Correct Answer: 414.64

Explanation:

Can be easily solved with following formula

 

a 2 - b 2 = a - b × a + b

= (25.732 - 15.732 ) x (25.732 + 15.732)

=414.64

Correct Answer: 1/500

Explanation:

0.127 expressed as a fraction = 127/1000

1/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000

The difference is 2/1000, which is 1/500

Correct Answer: 11.3

Explanation:

a^3 + b^3 = (a+ b) * (a^2 + b^2 - ab)

[ (10.3)^3 + (1)^3 ] / [(10.3)^2  + (1)^2 - (1 * 10.3)]

 => a + b = 10.3 + 1 = 11.3 

Correct Answer: 3/8

Explanation:

3/4 divided by 2

= 3/4/2

= 3/4x2

= 3/8.

 

Hence, 3/4 divided by 2 is equal to 3/8.

Correct Answer: 0.375

Explanation:

Expressing 3/8 as a decimal fraction:

We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts.

Then, it is 3/8 = 0.375 as a decimal fraction.

 

Other Method::

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

 

=> (3 x 125)/(8 x 125) = 375/1000 = 0.375.

 

Correct Answer: 7/12

Explanation:

Here to say which fraction is greater from the given options, the fraction with greater numerator with same denominator or smaller denominator with same numerator.

To find the greater fraction, among the given options, make the denominators same for the options by finding the LCM of all the denominators.

7/12, 9/16, 13/20, 32/80

Now, LCM of 12, 16, 20, 80 = 240.

Then,

140/240, 135/240, 156/240, 96/240

Here 

$$\begin{gathered} 156 240 > 140 240 > 135 240 > 96 240 \\ = > 13 20 > 7 12 > 9 16 > 32 80 \end{gathered}$$

 

Hence, largest fraction = 13/20.

Correct Answer: 0.60

Explanation:

Given fraction is 3/5

Now, multiply with 2 for numerator and denominator

we get,

3/5 x 2/2 = 6/10

 

When we divide, 6 with 10, we get 0.6 as quotient.

 

Hence, 3/5 as a decimal fraction is 0.6.

Correct Answer: 7/12 < 5/8 < 3/4 < 13/16

Explanation:

5/8 = .625, 7/12 = .5833, 3/4 = .75, 13/16 = .8125

So order will be
7/12 < 5/8 < 3/4 < 13/16