How do you write #2/5# as decimal?

Question

Luna Angel · Accepted Answer

We can write this as a decimal by making the denominator #10#.
It is #0.4#.

The easiest way to write this as a decimal is to multiply it until the denominator is #10#. As decimals are written in a tens system (with a tenths, hundredths, thousandths, etc. place), fractions with a denominator of #10# can easily be written as decimals. The way to make the denominator ten is to multiply both the top and bottom by #10/"the bottom number"#. In this case: #(2/5)*((10/5)/(10/5))# #(2/5)*(2/2)# To simplify, we can multiply the two numerators and the two denominators. #(2*2)/(5*2)# When we simplify, we get: #4/10# This, in words, is four tenths. Therefore, we put #4# in the tenths place of the decimal. In decimal form, this is #0.4#.

Mila Anderson · Answer

#2/5 = 4/10 = 0.4#

Decimals are way of writing fractions which have a power of #10# in the denominator. They will be #10, 100, 1000, 10,000# ,and so on.

In #2/5# make the denominator #10#

#2/5 xxcolor(blue)(2/2) = (2xx2)/(5xx2) =4/10 = 0.4#

Note that #color(blue)(2/2) =1# and multiplying any number by #1# does not change its value.

However, some fractions have denominators which cannot be made into a power of #10#.

In that case, divide the numerator by the denominator to get a decimal.

#2/5 = 2 div 5 = 0.4#

Autumn Arnold · Answer

#0.4# Using long division:- #color(white)(...)color(white)(.)ul(0.4)# #5|2# #color(white)(....)ul2# answer=0.4

Zoe Adams · Answer

undefined To write $ \frac{2}{5} $ as a decimal, you perform the division:

$$ \frac{2}{5} = 0.4 $$