Question

6/15 is terminating or non terminating? If its terminating why the denominator is not in the form of 2n×5n???
I'm so confused..

Answer 1

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(viii)    6/15 

      divide nominator and denominator both by 3 we get 2/5

            Denominator is in form of 5^m so it is terminating.

    

(ix)   35/50  divide denominator and nominator both by 5 we get 7/10

            Factorize the denominator we get

                        10=2 x 5

            So denominator is in form of 2^n x5^m so it is terminating

(x)        77/210.

 simplify it by dividing nominator and denominator both by 7 we get 11/30      

                        Factorize the denominator we get

                        30=2 x 3 x 5 

      Denominator has 3 also in denominator so denominator is not in form of 2^n x 5^n

                                                Hence it is none terminating.

Answer 2

Answer:

6/15 is terminating in nature.

Step-by-step explanation:

What is a terminating fraction?

• A fraction which ends with a fixed digit is called a terminating fraction. For eg, 5/2 is a terminating fraction as it gives 2.5 on calculation.
• When 6 is divided by 15 we get 0.4.
• Therefore, 6/15 is a terminating fraction.
• By multiplying 6/15 by 3/3, the denominator can be written the form of 2ⁿ5^m.

Thus, 6/15 is terminating in nature.