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Two fractions are given. For each one, write its decimal equivalent and determine if the decimal is terminating or non-terminating.

A. 9/20
B. 4/15

User Mota
by
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1 Answer

4 votes

A=0.45 ;Terminating

B=0.26666.....;Non-Terminating

Explanation:

In both the fractions the numerator is less than the denominator thereby indicating that the decimal equivalent is definitely less than one.

Now for A-

We are making the denominator to a multiple of 10.


(9)/(20)*(5)/(5)=(45)/(100)=0.45

Now for B-

Using normal long division, divide 4 by 15.

;reminder at each step;calculation of the decimal equivalent

15×2=30;10 ;0.2

15×6=90;10 ;0.26

15×6=90;10 ;0.266

15×6=90;10 ;0.2666

15×6=90;10 ;0.26666

and so on....

Therefore we can see that the reminder is remained constant throughout so there the decimal equivalent is non-terminating.

User Eugenekr
by
8.6k points

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