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State true or false:
The fraction $\frac{35}{50}$ will have a terminating decimal expansion.
(Solve without the long division method)

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True

False

answer is A.

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Detailed Solution

The given fraction is

\frac{35}{50}

.
The given fraction in its simplest form is:

\frac{35}{50} = \frac{5 \times 7}{5 \times 10}

\Rightarrow \frac{35}{50} = \frac{7}{10}

Prime factorization of

10 = 2 \times 5

\Rightarrow

Factorization of

10 = 2^{1} \times 5^{1}

where

m = 1

n = 1

and m and n are non-negative integers.
Therefore, it is true that the fraction

\frac{35}{50}

has got a terminating decimal expansion.
Hence, option 1 is correct.

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