Fraction Basics & Number Lines
Bella cuts a sandwich into 5 equal pieces and eats 3 of them.
What fraction of the sandwich does Bella eat?
3/5
Lila shares a chocolate bar by cutting it into 4 equal pieces and eats 1 piece.
What unit fraction of the bar did she eat?
If she cuts each of those 4 pieces in half, what equivalent fraction shows the same amount she ate?
Unit fraction = 1/4
Equivalent fraction = 2/8
Two friends eat pizza:
Emma eats 3/8 of a pizza.
Noah eats 5/8 of the same-sized pizza.
Who eats more pizza?
Noah
A show lasts 9 quarter-hours.
Write the total time as a mixed number of hours.
2 1/4 hours
A game score goes like this: 1/6, 2/6, 3/6,...
What fraction is being added each time, and what are the next two scores?
Add 1/6 each time; 4/6, 5/6
18 cookies are shared equally among 5 friends.
Write a fraction that shows “cookies per friend,” and explain what the numerator and denominator represent.
18/5
Numerator 18 = total cookies
Denominator 5 = number of friends
A garden row is divided into 5 equal parts. Carrots take up 3/5 of the row.
The gardener redraws her plan and divides the same row into 15 equal parts.
What fraction of the new drawing shows carrots?
9/15
Two kids each eat exactly 3 slices of cake, but the cakes are cut differently:
Cake A is cut into 4 equal slices: kid gets 3/4.
Cake B is cut into 5 equal slices: kid gets 3/5.
Which kid gets more cake?
The kid with 3/4
You have 5 whole pizzas and 2/3 of another pizza.
Write this amount of pizza as an improper fraction.
17/3
In a board game, your score after each round is:
Round 1: 1/3 point
Round 2: 1 point
Round 3: 5/3 points
Each round, you gain the same amount of points.
How many points do you gain each round?
Add 2/3 each round
On a number line from 0 to 1, the space is divided into 6 equal jumps.
A point is placed on the 4th jump after 0.
What fraction does this point represent?
2/3
Mason shades the same area on two different rectangles. On the first, he labels the shaded part 2/3.
On the second, he labels the shaded part 4/6.
Did he label them correctly as equivalent fractions? Why?
Yes. 2/3 * 2/2 = 4/6
Which is greater: 4/5 or 5/6? Explain how you got your answer.
5/6
Leah swims 7/4 kilometers on Monday and 5/4 kilometers on Tuesday.
How many kilometers does she swim in all?
3 kilometers
A robot starts at a height of 2 1/2 meters and goes down 1/4 meter each step.
Write the heights for the first four steps.
A number line goes from 0 to 2 and is divided into 8 equal jumps.
A point is located at the 5th jump after 0.
What number is that point showing?
1 1/4
You need a fraction that, when multiplied by 4 1/3, equals 1.
What is that fraction?
3/13
Order these fractions from least to greatest: 2/3, 3/8, 5/6.
3/8, 2/3, 5/6
Each bookshelf can hold 3/5 meters of books.
If there are 7 identical bookshelves completely filled, how many meters of books are there in all?
Give your answer as a mixed number.
4 1/5 meters
A pattern of fractions is:
1, 5/6, 2/3, 1/2,...
What fraction is being added or subtracted each time, and what is the next fraction?
Subtract 1/6 each time; 1/3
On a number line from 0 to 3, the distance is divided into twelfths (each tick mark is 1/12).
Point A is at 7/12.
Point B is at 1 5/12.
How far apart are Point A and Point B?
5/6
A painter has 2 identical boards.
She paints 3/4 of the first board.
She paints 9/12 of the second board.
1. Did she paint the same fraction of each board? Explain using equivalent fractions.
2. If each board is 8 feet long, how many total feet did she paint?
1. Yes, 3/4 * 3/3 = 9/12
2. 12 feet
Order these numbers from least to greatest:
5/6, 7/8, 1 1/4, 9/10
5/6, 7/8, 9/10, 1 1/4
A class is building model rockets. Each rocket uses 5/6 meter of tubing.
They have 4 meters of tubing.
1. How many whole rockets can they make?
2. How much tubing will be left over?
1. 4 rockets
2. 2/3 meters left over
Look at this pattern of fractions:
2/5, 4/10, 6/15, 8/20...
1. Describe the rule for how the numerators and denominators change.
2. Are all of these fractions equivalent? If yes, what single fraction are they all equal to in simplest form?
3. What are the next two fractions in the pattern?
1. Numerators go 2, 4, 6, 8,... (add 2 each time); Denominators go 5, 10, 15, 20,... (add 5 each time)
2. Yes, each is equal to 2/5 when simplified
3. Next numerators: 10, 12 & next denominators: 25, 30; Next fractions: 10/25, 12/30 (each simplifies to 2/5)