9
Q:

# Karthik read $613$ th of a book in 1st week and $59$ th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

 A) 404 B) 415 C) 418 D) 420

Explanation:

Let the total book be 1

Then, in the 1st week $613$th of book is read

i.e remaining pages =  $1-613=713$

in 2nd week he read $59$th of it

i.e $59×713=35117$
Remaining pages after 2nd week = $713-35117=28117$

But given remaining pages after 2nd week = 100

$28x117=100$

--> x = 418

The total pages in the book are 418

Q:

3/5 as a decimal fraction?

 A) 0.25 B) 0.45 C) 0.60 D) 0.75

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.

1 64
Q:

Which of the following fraction is the largest?

 A) 7/12 B) 9/16 C) 13/20 D) 32/80

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

Hence, largest fraction = 13/20.

2 237
Q:

2/3 as a decimal

 A) 0.47 B) 6.77 C) 0.67 D) 0.07

Explanation:

To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator.

2/3

How it comes :

÷ 0 bring down the decimal point.

20 ÷ 6 and carry the remainder 2 to make 20

20 ÷ 6 and carry the remainder 2 to make 20

20 ÷ 6 and carry the remainder 2 to make 20

etc...

This gives the recurring decimal 0.6666...

If we round off to two decimals , then it becomes 0.67.

Hence, decimal fraction of 2/3 = 0.67.

0 304
Q:

3/8 as a decimal

 A) 1.375 B) 2.375 C) 0.375 D) 3.75

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.

3 216
Q:

3/4 divided by 2 is

 A) 3/2 B) 2/3 C) 8/3 D) 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.

2 259
Q:

1/8 as a decimal?

 A) 0.125 B) 0.225 C) 0.325 D) 0.425

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.

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

i.e, 0.125

Hence,

4 435
Q:

What is $15$ as a decimal?

 A) 0.333 B) 0.666 C) 0.200 D) 0.452

Explanation:

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

3 579
Q:

125 over 1000 in Simplest Form?

 A) 2/9 B) 1/8 C) 3/8 D) 4/7

Explanation:

125 over 1000 in Simplest Form means $1251000$ 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,

Hence, $18$ is the simplest form of 125 over 1000.