If Gmail Is Hacked

You have your gmail account. You are trying to login and see the password is wrong ! Timid and disgusted, you quickly click "Can't access your account?" button, trying to reset password by your alternate email address. But no, hacker has already changed your alternate email address, your phone number, address, security question, everything ! What to do?

Don't worry.Only way to get back it, is to contact Google support center. Go to link below:

https://www.google.com/accounts/recovery

You will see a text, "having trouble signing in?". Select your field and submit to continue. Google will scrutinized your account info again, if everything is perfect then you will get back your account. It may take some days.

Proportion

We know that ratio is comparison of two numbers and if two ratios are equal then it is called Proportion. So, Proportion says that two ratios are equal.
Though ratio and proportion are different terms for the same mathematical concept but they are often used together as a phrase, "ratio and proportion". 8/10 = 12/15
Here, the common ratio is 4/5.
Do the ratios 18/9 and 2/1 form a proportion? (Answer it by yourself)

#Take another example of word problem so that you can understand it more.
Rob can eat 10 cakes in 60 minutes. In this way, how much time will it take to eat 35 cakes?
Let's think, it will take M minutes. Then
10/60=35/M
10M= 60 × 35
10M=2100
M= 2100/10

M=210

So, it will take 210 minutes to eat all the 35 cakes.

#You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use. Is the amount of sugar you need proportional to the amount of lemonade mix you use?

Cups of sugar	1/3	1	3
Packets of lemonade mix	1	3	9

For each column in the table, let's write the ratio (in simplest form) of cups of sugar to packets of lemonade mix.
1/(1/3) =3 3/1=3 9/3=3
So, the answer is yes.

Ratios

We often compare two things and this comparison is called 'Ratio' in mathematics. A ratio compares two different quantities. So, it also a relation between two quantities. 

For example, there are 10 instructors and 30 girls in a hall room. So the ration between instructor and girl is 10 to 30 and in simplification it is 1 to 3 which means for every 3 girls there is one instructor.

Here are a few different ways we can describe the ratio of instructors to girls:

• There is 1 instructor for every 3 girls.
• The ratio of instructor to girls 1 to 3.
• The ratio of instructor to girls 1/3
• The ratio of instructor to girls 1:3

Ways to write ratios:

Here are several ways to describe the same ratio:

-  6 to 11

-  6:11

-  6/11

Fraction

A fraction is part of a whole. If we divide a whole thing, it will be divided into several pieces. Each piece can be seen as fractional part of the original whole thing.

In the above picture a circle is cut into 2 pieces and another circle is cut into 8 pieces. Each part can be said as fraction of the original circle and it can be represented as 1/2 and 1/8. Here 1 is called numerator and 2 and 8 is called denominator.

The numerator represents a number of equal parts while the denominator indicates how many of those parts make up a unit or a whole. For example, in the fraction 4/8, the numerator, 4, tells us that the fraction represents 4 equal parts, and the denominator, 8, tells us that 8 parts make up a whole. The denominator cannot be zero here. So, relation between can represented as :

Numerator

-------------------

Denominator

Proper Fraction and Improper Fraction:

A proper fraction is a fraction where the numerator is smaller than denominator.

Below are examples of improper fractions:
2/4, 3/5, 3/7

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Below are examples of improper fractions:
9/4, 5/5, 7/3

Mixed number:
A mixed number sometimes also called mixed fraction has a whole number and proper fraction. It is actually sum of a  whole number(not zero) and a proper fraction. This sum (+) symbol is never expressed.
3 4⁄5
It is actually  3 + 4⁄5 and is equivalent to 19/5.

Prime Number and Composite Number

What are prime numbers?
It is a whole number which has exactly two factors. The factors are 1 and the number itself. So, a prime number can be divided evenly by 1 and the number itself.

Example:
2,3,5,7 etc.
Pick a number 3 or 7. 3 can be divided by 1 and 3 itself. It is not evenly divisible by any other whole numbers.

What are composite numbers?
Composite numbers have more than two factors. A composite number has factors in addition to 1 and the itself.

Example:
4,9,18,77 etc.
Pick a number 18. it can be divided by 1,3,6,9 and 18 itself. So, it has more factors.

What is Multiple?

Multiples are numbers that result when we multiply one whole number by another whole number. The first four multiples of 3 are 3,6,9,12
3 × 1 = 3
3 × 2= 6
3 × 3= 9
3 × 4 = 12

We can write multiples of 5 as below:
5 × 1 = 5
5 × 2 = 10
5 × 3 = 15
5 × 8 = 40 

 We can never list all of the multiples of a number. In our example, 3 could be multiplied by an infinite number of numbers to find new multiples.