What is 0.032 as a fraction?

2 Answers
Nov 12, 2016

#0.032= 4/125#

Explanation:

A decimal can be given as a fraction with very little working.

Each decimal place represents a power of 10.

3 decimal places represent the number of thousandths.

#0.032 = 32/1000#

This can be changed to simplest form by dividing by #8/8#.

#(32 div8)/(1000div8) = 4/125#

Nov 12, 2016

#4/125#

Explanation:

The numbers after the decimal point determine the #color(blue)"place value"#

Hence 0.032 denotes 0 tenths, the 3 denotes 3 hundredths and the 2 denotes 2 thousandths.

#rArr0.032=3/100+2/1000#

Expressing with #color(blue)"common denominators"#

#=(3/100xx10/10)+2/1000=30/1000+2/1000=32/1000#

The fraction #32/1000# can be simplified by #color(blue)"cancelling"#

#(32÷8)/(1000÷8)=4/125#

That is #32/1000=cancel(32)^4/cancel(1000)^(125)=4/125" in simplest form"#