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

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Emily Share
Oct 20, 2016

Answer:

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

Explanation:

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 ten 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 four in the tenths place of the decimal.
In decimal form, this is #0.4#.

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Feb 17, 2018

Answer:

#2/5 = 4/10 = 0.4#

Explanation:

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#

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