# What is 1/2 - 1/5?

Will you kindly please explain how you got the answer? Thank you!

Relevance
• 1/2 - 1/5 is the same as 5/10 - 2/10 = 3/10

• Fractions cannot be added or subtracted until they are the same 'shape'. To do this, you need to find a common denominator. The simplest way to do this is to multiply your denominators together: 2 * 5 = 10.

Now convert each fraction to something over 10.

1/2 * 5/5 = 5/10 (had to multiply 2 by 5 to get 10, so also multiply 1 by 5 and get 5)

1/5 * 2/2 = 2/10 (had to multiply 5 by 2 to get 10, so also multiply 1 by 2 and get 2)

Now our fractions have the same 'shape', i.e. denominators.

1/2 - 1/5 = 5/10 - 2/10 = 3/10 (subtract the numerators (top) and leave the denominator alone).

• 5/10 - 2/10 = 3/10

• What is 1/2 - 1/5?

Since the denominators are not the same, you just find the common denominator by using prime factorization and finding its greatest power. For instance:

2=2

5=5

The sign (*) means to multiply. Common denominator=2*5=10

Therefore, the common denominator is 10. You just find what multiply by 2 to make 10. It is 5. So you multiply both numerator and denominator of 1/2 by 5 which is equal to 5/10. You do the same for 1/5. 1/5 is equal to 2/10. Now you just subtract the numerators since you have same denominator. You subtract 2/10 from 5/10 which is equal to 3/10.

Hopefully, that helps you.

Hooah!

• Take the L.C.M Of denominator of both numbers i.e 10

1/2-1/5 = (5-2)/10

= 3/10

• 1/2 - 1/5 =

common denominators:

5/10 - 2/10 =

subtract:

3/10

• 1/2 - 1/5

make the same denominator by the use of LCM.

5-2

___

10

apply subtraction

3/10

• Anonymous
7 years ago

Well 1/2 means 1 part of 2 part & 1/5 means 1 part of 5 part.....i think you got it pal.

• Anonymous
7 years ago

Ans 3/10

In decimal 0.3

• 1/2= 0.5,,

1/5= 0.2

0.5-0.2= 0.3 which is 3/10

or follow Ted C's explanation if you don't know how to convert