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What is the decimal equivalent of 1/3?

A. 3.1

B. 1.3
_
C. 0.3

D. 0.3

User Boes
by
8.5k points

2 Answers

2 votes

Answer:

0.3

Explanation:

Use “Bus stop” long division.

1/3 is the same as saying 1÷3, or “how many times does 3 go into 1”

3|1.000

How many times does 3 go into 1? Zero remainder one. We take the one over into the next column. So now we have:

3|0.1000

0

So, how many 3s go into 10? Three with one remaining. We take the one into the next column again.

3|0.0100

0.3

How many 3s go into 10? 3 again, remainder 1.

3|0.0010

0.33

This process continues until you end up with no remainder - but that doesn't ever happen in the decimal expansion of 1/3,

1/3=0.333… with recurring (infinitely repeating) 3s, and that's why we tend to prefer factions where we can use them.

1/3=0.3

I HOPE THIS HELPED YOU.

User Hbejgel
by
7.6k points
6 votes

Answer: C. 0.3

Step-by-step explanation:

To convert 1/3 so you can write it as a decimal, simply divide the numerator by the denominator, like this:

= 1/3

= 1 ÷ 3

≈ 0.3333333

Therefore, the solution to 1/3 as a decimal is as follows:

1/3 ≈ 0.3333333

User Literadix
by
9.4k points

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