Question

You and a friend are collecting leaves. In your collection of 45 leaves, 4 are oak leaves. In your friend’s collection of 36 leaves, 3 are oak leaves. Whose collection has a greater fraction of oak leaves?

Short answer

Friend’s collection has a greater fraction of oak leaves.

Step-by-step solution

Step 1. Given information

Me and my friend have 4 oak leaves in collection of 45 leaves and 3 oak leaves in collection of 36 leaves respectively.

Step 2. Calculation 

To evaluate fraction of oak leaves in collection, it is needed to divide the oak leaves which having by anyone to the total oak leaves

Therefore, the fraction number obtained as

$\begin{array}{c}fractionofoakleavesofinminecollection=\frac{oakleaveswhichihave}{collectionofoakleaves}\\ fractionofoakleavesofinminecollection=\frac{4}{45}\\ =0.0\overline{8}\\ fractionofoakleavesofinfriendscollection=\frac{oakleaveswhichfriendhave}{collectionofoakleaves}\\ fractionofoakleavesofinfriendscollection=\frac{3}{36}\\ =0.08\overline{3}\\ \end{array}$

Here, fraction of collection of friends is higher than me as $\frac{3}{36}>\frac{4}{45}$

Hence,

Friend’s collection has a greater fraction of oak leaves.