Question

partner practice

1. $2 \div \frac{1}{5} =$
2. $1\frac{5}{6} \div \frac{1}{6} =$
3. jocelyn has 3 pizzas. she cut each pizza into slices that are thirds. how many slices of pizza does jocelyn have?

jocelyn has

1. grant has $2\frac{1}{2}$ feet of rope. he cuts the rope into pieces that are each $\frac{1}{8}$ foot. how many pieces will grant be able to cut?

Explanation:

Problem 1:

Step1: Recall division of fractions rule

To divide by a fraction, multiply by its reciprocal. So \(2\div\frac{1}{5}=2\times\frac{5}{1}\)

Step2: Multiply the numbers

\(2\times\frac{5}{1} = 10\)

Step1: Convert mixed number to improper fraction

\(1\frac{5}{6}=\frac{1\times6 + 5}{6}=\frac{11}{6}\)

Step2: Apply division of fractions rule

\(\frac{11}{6}\div\frac{1}{6}=\frac{11}{6}\times\frac{6}{1}\)

Step3: Multiply the fractions

\(\frac{11\times6}{6\times1}=11\)

Step1: Understand the problem

Each pizza is cut into thirds, so each pizza has \(3\) slices (since \(\frac{1}{3}\) per slice, \(1\div\frac{1}{3}=3\)). There are \(3\) pizzas.

Step2: Calculate total slices

Total slices \(= 3\times3 = 9\)

Answer:

\(10\)

Problem 2: