Question

drag and drop the correct work and solution into each white rectangle.
a mia has $4\frac{3}{4}$ gallons of orange juice that she plans to pour into containers that each hold $\frac{1}{8}$ of a gallon. how many containers will mia be able to fill?
b a running trail is $6\frac{1}{2}$ miles long. leigh plans on running this trail over the course of 4 days. how much of the trail will she have to run each day?
use the orange numbers below to drag into the boxes above

Explanation:

Step1: Solve problem A

Convert \(4\frac{3}{4}\) to an improper fraction: \(4\frac{3}{4}=\frac{4\times4 + 3}{4}=\frac{19}{4}\).
The division formula is \(\frac{19}{4}\div\frac{1}{8}\).
According to the division rule of fractions (\(a\div b=a\times\frac{1}{b}\)), \(\frac{19}{4}\div\frac{1}{8}=\frac{19}{4}\times8 = 38\).

Step2: Solve problem B

Convert \(6\frac{1}{2}\) to an improper fraction: \(6\frac{1}{2}=\frac{6\times2+1}{2}=\frac{13}{2}\).
The division formula is \(\frac{13}{2}\div4\).
According to the division rule of fractions (\(a\div b=a\times\frac{1}{b}\)), \(\frac{13}{2}\div4=\frac{13}{2}\times\frac{1}{4}=\frac{13}{8}=1\frac{5}{8}\).

Answer:

A. \(4\frac{3}{4}\div\frac{1}{8}=38\)
B. \(6\frac{1}{2}\div4 = 1\frac{5}{8}\)