How do you write 2/525 as decimal?

3 Answers
Oct 20, 2016

We can write this as a decimal by making the denominator 1010.
It is 0.40.4.

Explanation:

The easiest way to write this as a decimal is to multiply it until the denominator is 1010. As decimals are written in a tens system (with a tenths, hundredths, thousandths, etc. place), fractions with a denominator of 1010 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"10the bottom number. In this case:

(2/5)*((10/5)/(10/5))(25)(105105)

(2/5)*(2/2)(25)(22)

To simplify, we can multiply the two numerators and the two denominators.

(2*2)/(5*2)2252

When we simplify, we get:

4/10410

This, in words, is four tenths. Therefore, we put 44 in the tenths place of the decimal.

In decimal form, this is 0.40.4.

Feb 17, 2018

2/5 = 4/10 = 0.425=410=0.4

Explanation:

Decimals are way of writing fractions which have a power of 1010 in the denominator. They will be 10, 100, 1000, 10,00010,100,1000,10,000 ,and so on.

In 2/525 make the denominator 1010

2/5 xxcolor(blue)(2/2) = (2xx2)/(5xx2) =4/10 = 0.425×22=2×25×2=410=0.4

Note that color(blue)(2/2) =122=1 and multiplying any number by 11 does not change its value.

However, some fractions have denominators which cannot be made into a power of 1010.

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

2/5 = 2 div 5 = 0.425=2÷5=0.4

Jul 20, 2018

0.40.4

Explanation:

Using long division:-

color(white)(...)color(white)(.)ul(0.4)
5|2
color(white)(....)ul2

answer=0.4