Meera claims: 'Every fraction whose denominator is an even number has a terminating decimal.' Give the status of her claim using 5/6 as a test case. (6 is even.)

Question

Accepted Answer

False; 5/6 = 0.8333... is recurring because 6 = 2 × 3. Even denominator is not enough; it must be ONLY 2s and 5s. 6 = 2 × 3 contains 3, so 5/6 = 0.8333... is non-terminating recurring. Meera's claim is false.

Meera claims: 'Every fraction whose denominator is an even number has a terminating decimal.'
Give the status of her claim using $\frac{5}{6}$ as a test case.
(6 is even.)

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More Class 10 Decimal Expansions practice

Meera claims: 'Every fraction whose denominator is an even number has a terminating decimal.'Give the status of her claim using 65​ as a test case.(6 is even.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Decimal Expansions practice

Meera claims: 'Every fraction whose denominator is an even number has a terminating decimal.'
Give the status of her claim using $\frac{5}{6}$ as a test case.
(6 is even.)