What is 0.032 as a fraction?

2 Answers
Nov 12, 2016

0.032= 4/1250.032=4125

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 = 32/10000.032=321000

This can be changed to simplest form by dividing by 8/888.

(32 div8)/(1000div8) = 4/12532÷81000÷8=4125

Nov 12, 2016

4/1254125

Explanation:

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

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

rArr0.032=3/100+2/10000.032=3100+21000

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

=(3/100xx10/10)+2/1000=30/1000+2/1000=32/1000=(3100×1010)+21000=301000+21000=321000

The fraction 32/1000321000 can be simplified by color(blue)"cancelling"cancelling

(32÷8)/(1000÷8)=4/12532÷81000÷8=4125

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