# 2.04 Practical problems with fraction operations

## Interactive practice questions

Sharon walks $\frac{2}{5}$25 of a kilometer and runs $\frac{1}{7}$17 of a kilometer to get to school.

How many kilometers does she travel?

Easy
Approx 2 minutes

Carl has $\frac{3}{7}$37m of ribbon. After he uses some ribbon for a present, he has $\frac{1}{4}$14m left.

How much ribbon did he use on the present?

Bianca has $\frac{5}{6}$56kg of beads. She shares the beads evenly between $3$3 friends.

How many kilograms does each friend receive?

At a party, Bill makes a drink by combining $5\frac{1}{3}$513L of water with $1\frac{1}{2}$112L of cordial.

What is the total amount of the drink?

### Outcomes

#### 6.NS.1

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = (8/9) because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = (ad/bc). How much chocolate will each person get if 3 people share 1/2lb of chocolate equally? How many (3/4) cup servings are in (2/3) of a cup of yoghurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?

#### 6.NS.2

Fluently divide multi-digit numbers using the standard algorithm