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# help

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140
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16 divided by (in factor form) 1 4th

Guest May 26, 2017
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#1
+5553
+1

$$16\div\frac14\\~\\16\times\frac41\\~\\16\times4\\~\\64$$

hectictar  May 26, 2017
#2
+1493
+3

$$\frac{16}{\frac{1}{4}}=64$$. In factor form, $$64=2^6$$

$$\frac{16}{\frac{1}{4}}$$

This is the original expression given, or, at least, this was my interpretation. If it is wrong, please correct me. Dividing a number by a fraction is the same as multiplying a number by that fraction's reciprocal:

$$\frac{16}{\frac{1}{4}}=16*\frac{4}{1}=64$$

You said that you wanted your answer in factor form. Continue creating a tree of factors until you get down to prime numbers:

64

/\

8   *   8

/\         /\

2 * 4    4 * 2

/\     /\

2*2   2*2

Combine the bolded numbers, and you are done! There are 6 2's.

$$2*2*2*2*2*2=2^6$$

TheXSquaredFactor  May 26, 2017

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