Question

How to turn 0.4 into fractions

Answer 1

Answer: 2/5

Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths so we can write 0.4 as the fraction 4/10.

Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.

If we divide the numerator and the denominator by 2, we get 2/5.

Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.

Answer 2

Think about it this way: 0.4 is read as what?
It's read as "four tenths".
This means that it can also be said as "four out of ten".
So, 0.4 into a fraction is "4/10".
Now, this fraction can be reduced, so what is the greatest common factor of 4 and 10?
Factors of 4: 1,2,4
Factors of 10: 1,2,5,10
So the greatest common factor is 2.
So, if you divide both 4 and 10 by the greatest common factor to get (4/2) = 2 and (10/2) = 5.
So, the reduced fraction would end up being 2/5.
When you divide 2 by 5, you get 0.4, if you want to check.