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What is 28 divided by 5 5/6 in a fraction?

 May 3, 2020
 #1
avatar+300 
+2

Hmm. This means to represent \(\dfrac{28}{5 \frac{5}{6}}\) as a fraction. We could turn them both into improper fractions:

\(28 = \frac{168}{6}\)

\(5 \frac{5}{6} = \frac{35}{6}\)

 

Dividing \(28\) by \(5 \frac{5}{6}\):

 

\(\frac{168}{6} \div \frac{35}{6}\)

 

When dividing one fraction by the other, you simply multiply by the right fraction's reciprocal:

 

\(\frac{168}{6} \div \frac{35}{6} = \frac{168}{6} \cdot \frac{6}{35}\)

 

So we just have to multiply these fractions. What do you get? :D

 May 3, 2020
 #2
avatar+657 
+2

Then the final answer is 168/6 * 6/35 = 1008/210

 

= 24/5

 

coolsmileycool

 May 3, 2020
 #3
avatar+300 
+1

Correct! :D

CentsLord  May 3, 2020

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