Correct Answer: 418

Explanation:

Let the total book be 1

Then, in the 1st week 6 13th of book is read

i.e remaining pages =   1 - 6 13 = 7 13

in 2nd week he read 5 9th of it

i.e 5 9 × 7 13 = 35 117
Remaining pages after 2nd week =  7 13 - 35 117 = 28 117

But given remaining pages after 2nd week = 100

 

28 x 117 = 100

--> x = 418 

 The total pages in the book are 418

Correct Answer: always less than either of the original fractions

Explanation:

We can easily Answer this by taking some values.

 

The question states that the two fractions, each have values between 0 and 1.

Let us say one of the fraction is 1/2 and the other fraction is 1/3 .

The product of the two fractions is 1/2 x 1/3 = 1/6 .
 is lesser than both 1/2  and 1/3 .

So, the correct answer is that the product is always less than either of the original fractions. 

Correct Answer: 0.018

Explanation:

In these type of fractions, the decimal moves left the number of zeroes in the divisor times. Herein the given question 18/1000, there are 3 zeros in 1000 (divisor). Hence, the quotient is 0.018.

 

The quotient of 18/1000 = 0.018.

Correct Answer: 0.125

Explanation:

1/8 to convert into decimal,

Find an equivalent fraction with a denominator of a power of 10.

In this case, we will use 1000.

1 8 x 125 125 = 125 1000

This can now be written as a decimal with 3 decimal places (because we have thousandths.

i.e, 0.125

 

Hence,  1 8 as a decimal = 0 . 125

Correct Answer: 0.625

Explanation:

5/8 is Nothing but to divide 5 into 8 parts.

 

 

As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)

 

 

Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)

 

  

Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.

 

  

Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)

 

  

Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.

 

 

Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)

 

 

Therefore, the decimal value of  5 8 is 0.625.

 

Now find a decimal value of 11 17 and Discuss your at Discuss.

Correct Answer: 1/8

Explanation:

125 over 1000 in Simplest Form means  125 1000 in its simple fraction form.

 

Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.

 

HCF of 125, 1000 = 125

 

Then, divide both numerator and denominator by 125

i.e,  125 125 1000 125 = 1 8

 

Hence,  1 8 is the simplest form of 125 over 1000.

Correct Answer: 6

Explanation:

 

It is in the form of  a 2 - b 2 a - b = a + b a - b a - b = a + b

 

Here a = 3.39   b = 2.61 

 

 = 3.39 + 2.61 = 6.

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: 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: 73

Explanation:

0.46 = 46/100 = 23/50.

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