2. Operations (N)
  3. Lesson 15: Dividing Fractions

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Example 1

Elsie has \(5\) jumbo freezies to share with the \(13\) players on her soccer team.  She cuts each freezie into thirds.  Does Elsie have enough freezie pieces for everyone on her team?

 

 

Check Your Understanding 1

Evaluate \($wholenum(details...)\div$frac(details...)\). 

Enter the fraction \(\dfrac{5}{4}\) as '5/4' or enter the mixed number \(1\dfrac{3}{4}\) as '1+3/4'.

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Step 1: Find the reciprocal of the fraction. The reciprocal of \($frac(details...)\)is \(\dfrac{((d)*(e))*(n)}{((((((((i)*(m))*(p))*(r))*(o))*(p))*(n))*(u))*(m)}\).

Step 2: Multiply the whole number by the reciprocal to find the answer. 

\(\begin{align*}  $wholenum(details...)\div$frac(details...)&=$wholenum(details...)\times\dfrac{((d)*(e))*(n)}{((((((((i)*(m))*(p))*(r))*(o))*(p))*(n))*(u))*(m)}\\ &=\dfrac{$wholenum(details...)\times((d)*(e))*(n)}{((((((((i)*(m))*(p))*(r))*(o))*(p))*(n))*(u))*(m)}\\ &=\dfrac{(((((a)*(n))*(s))*(n))*(u))*(m)}{(((((a)*(n))*(s))*(d))*(e))*(n)}\\ &((((((((f)*(e))*(e))*(d))*(b))*(a))*(c))*(k))*1.0 \\ &((((((((f)*(e))*(e))*(d))*(b))*(a))*(c))*(k))*2.0 \end{align*}\)

Remember to reduce your final answer whenever possible.

 

Example 2

Elsie's brother took \(\dfrac{1}{2}\) of a freezie.  Now she has \(4 \dfrac{1}{2}\) freezies.  If she still cuts each freezie into thirds, will she have enough freezie pieces for the \(13\) players on her soccer team?

 

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