How can you simplify the following fraction using prime factorization?: $\frac{832}{644}$ $832/644$

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How can you simplify the following fraction using prime factorization?: $\frac{832}{644}$ $832/644$

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Answer 1 · 2016-05-02T06:09:41

$\frac{832}{644} = \frac{208}{161}$ $832/644=208/161$

Explanation:

Prime factors of $832$ $832$ are $832 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 13$ $832=2xx2xx2xx2xx2xx2xx13$ and

prime factors of $644$ $644$ are $644 = 2 \times 2 \times 161$ $644=2xx2xx161$

Hence $\frac{832}{644} = \frac{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 13}{2 \times 2 \times 161}$ $832/644=(2xx2xx2xx2xx2xx2xx13)/(2xx2xx161)$

= $(cancel(2xx2)xx2xx2xx2xx2xx13)/(cancel(2xx2)xx161)$

= $(2xx2xx2xx2xx13)/161$

= $208/161$

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How can you simplify the following fraction using prime factorization?: $\frac{832}{644}$ $832/644$

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How can you simplify the following fraction using prime factorization?: $\frac{832}{644}$ $832/644$