Question

Can someone please write out the decimal 112.001 as a fraction? And it would really really help me a lot if you could explain how you did it. Because I can change a decimal into a fraction without the zeros (like 001 in the decimal example above, it has zeros so idk what to do.)

Answer 1

So let's leave the 112 aside for now. The question then becomes how to write the decimal 0.001 as a fraction. The key is to remember that

0.x  corresponds to "tenths" so x/10

0.0x corresponds to "hundredths" --> x/100

0.00x corresponds to "thousandths" --> x/1000

The number 0.001 is just 1 thousandth, or 1/1000

Now back to 112.001. You can write it as

112/1 + 1/1000 =

(112,000+1)/1000 =

112,001/1000  (the fraction you were looking for)

Let me know if you have questions