Why 6/15 has a terminating expansion and 64/455 has a non terminating expansion

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Solution

Dividing 6/15 we get => 0.4

But Dividing 64/455 we get => 0.1406593406593407.....

it goes on

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Similar questions

Q. Write whether the rational number

\frac{64}{455}

will have a terminating decimal expansion or a non-terminating repeating decimal expansion

Question 1 (iii)
Without actually performing the long division, state whether $\frac{64}{455}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Question 1 (iii)
Without actually performing the long division, state whether $\frac{64}{455}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion : $\frac{64}{455}$ [1 MARK]

Q. State true or false.

\frac{6}{200}

has non terminating repeating decimal expansion.

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Why 6/15 has a terminating expansion and 64/455 has a non terminating expansion

Dividing 6/15 we get => 0.4 But Dividing 64/455 we get => 0.1406593406593407..... it goes on

Dividing 6/15 we get => 0.4

But Dividing 64/455 we get => 0.1406593406593407.....

it goes on