Correct expression of 6.46 is

Correct Answer: 73

Explanation:

0.46 = 46/100 = 23/50.

Sum of the numerator and denominator is 23 + 50 = 73

Correct Answer: 7/8 & 3/8

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: 3120

Explanation:

Given, 52416 / 312 = 168.

<=>  52416 / 168 = 312.

52.416 / 0.0168 = 524160 / 168 = 3120.

 

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

Correct Answer: 44

Explanation:

  4             3             4             7               15        ?
×1-1      ×1+1       ×2-1       ×2+1           ×3-1

 

15x3 - 1 = 45 - 1 = 44

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 = ?

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