When 0.46 is written in simplest form, the sum of the numerator and the denominator is ?

Correct Answer: 7/8 & 3/8

Explanation:

Given 0.875 and 0.375

0.875 ::

After decimal point there are 3 digits 875

Now, mutiply and divide 0.875 with 1000

$$\begin{gathered} 0 . 875 x 1000 1000 = 875 1000 \\ Now , this can be reduced to fraction 7 8 \\ Therefore , 0 . 875 as fraction = 7 8 \end{gathered}$$

Similarly,

0.375 :: 

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000

$$\begin{gathered} 0 . 375 x 1000 1000 = 375 1000 \\ Now , this can be reduced to fraction 3 8 \\ Therefore , 0 . 375 as fraction = 3 8 \end{gathered}$$

Correct Answer: 0.200

Explanation:

Here I converted the original fraction to a fraction with the denominator being 10, because decimals can be written in the tenths place.

$$\begin{gathered} Divide numerator and denominator with ' 2 ' \\ 1 5 x 2 2 \\ = 2 10 \\ = 0 . 2 \end{gathered}$$

Correct Answer: None of these

Explanation:

Let 138.009 + 341.981 - 146.305 = 123.6 + z

Then, z = (138.09+341.981) - (146.305+123.6)= 479.99 - 269.905 = 210.085

Correct Answer: 1/6

Explanation:

Converting each of the given fractions into decimal form, we get

2/3 = 0.66, 3/4 = 0.75, 4/5 = 0.8, 5/6 = 0.833 

Since 0.833>0.8>0.75>0.66 

So, 5/6 > 4/5 > 3/4 > 2/3 

Therefore,  Required Difference = 5/6 - 2/3 = 1/6

Correct Answer: 3/4

Explanation:

0.75 = 75/100 = 3/4

Correct Answer: 640/99

Explanation:

$$\begin{gathered} 6 . 46 = 6 + 0 . 46 \\ = 6 + 46 99 \\ 594 + 46 99 \\ = > 640 99 \end{gathered}$$

Correct Answer: 3120

Explanation:

Given, 52416 / 312 = 168.

<=>  52416 / 168 = 312.

52.416 / 0.0168 = 524160 / 168 = 3120.

 

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: 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: 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