Equivalent Fractions
What is a fraction with a denominator of 6 that is equivalent to 2/4 ?
3/6
What fraction with a denominator of 8 is equivalent to 1/4?
2/6
In Ms. Ashley’s class, 2/3 of the students wear glasses. In Mr. Ben’s class, 1/4 of the students wear glasses.
Which class has the most students with glasses?
Ms. Ashley's class
Sarah lives 3 3/8 miles from school. Holly lives 2 5/8 miles from the school. How much farther does Sarah live from the school than Holly?
6/8 mile
Brent drank 1 7/10 of a cup of lemonade. Francis drank 3 4/10 of a cup. How much lemonade did Brent and Francis drink altogether?
5 1/10 cups
What is an equivalent fraction to 5/10
1/2 - 4/8 - 3/6 - 6/12
Which symbol would make the comparison true?
Draw a number line model to prove it
3/5 2/4
greater than symbol
teacher check number line
Mrs. Keirn has pie left over from Thanksgiving. She has 2/6 of her pecan pie left and 5/8 of her apple pie left.
Which pie does she have the LEAST of left over?
She has less pecan pie left than apple.
Joe used 4/6 cup of milk for every cake he made. If he made 3 cakes, how many cups of milk did he use altogether? Explain how you solved it.
2 cups
Ms. Nguyen is planning a field trip to the Muir Woods with her class. She tells her students that of all the people going, 5/8 are children, 2/8 are parents, and 1/8 are grandparents. A student says that the fractions of all the people going on the trip should add up to 1. Is she correct? Explain your answer with equations, diagrams, and words
Yes
True or False:
3/4 is equivalent to 2/5
False
Write a fraction greater than 3/8 using a model to prove it
3/5 - teacher check others
Emory is wrapping presents for her friends. She wraps 3/5 of the presents in pink paper, 2/6 of the presents in silver paper, and she put 1/4 of the presents in bags.
Did Emory wrap more presents in pink paper or did she use more bags?
She used more pink paper than bags to wrap her gifts
Tom’s tent for camping weighs 4 2/6 pounds, and his sleeping bag weighs 1 4/6 pounds. How much heavier is the tent than the sleeping bag?
2 4/6 pounds
Ms. Nguyen brought a lot of water for her students to drink. Natalia drank 1 1/3 bottles, Sophia drank 2/3 of a bottle, and Emily drank 1 2/3 bottles of water. Emanuel said that he drank 3 bottles of water. Who drank more water: Emanuel or the three girls combined? Explain your answer using equations, diagrams, and words.
The three girls combined
1 1/3 + 2/3 +1 2/3 = 3 2/3 bottles
True or False:
Fractions with the same numerator are always equivalent
False
Which symbol makes the comparison true? Draw a model to prove it.
3/6 5/12
greater than
teacher check model
Abby and Jack's dad brought them a candy bar home from the store. Abby only ate 2/6 of her candy bar but Jack ate 6/6 of his.
Who ate more of their candy bar?
Jack. 6/6 is equal to one whole so he ate the entire candy bar.
Ava had 4 2/8 feet of red ribbon. She used some ribbon to make a bow for a gift. Now she has 2 5/8 feet of ribbon left. How much red ribbon did Ava use?
2 5/8
Oscar jumped 1 ¼ feet. Jackson jumped 2 ¾ feet. How much farther did Jackson jump?
1 2/4 feet
What fraction with a denominator of 8 is equivalent to 1/4?
2/8
What number would make the statement true?
1/2 > ?
3/8, 2/8, 1/8
Teacher checks others
James can throw the football 3/10 of a yard. Julie can throw the football 6/12 of a yard.
Who can throw the football the furthest?
Julie
Carl ran 4 5/6 laps on the track on Monday and 3 2/6 laps on Tuesday. How far did he run on the two days?
7 1/6 laps
Ms. Nguyen led her class on a hike on the Main Trail of Muir Woods. They started from the Visitors’ Center and walked 3/10 of a mile to Bridge 2. Then they walked another 7/10 of a mile to Bridge 3 where they stopped to rest. Then they walked to Bridge 4 which was 5/10 of a mile away. From Bridge 4 they returned to the Visitors’ Center which was 6/10 of a mile away. How many miles in total did Ms. Nguyen’s class hike? Explain your answer using equations, diagrams, and words.
2 1/10 miles
3/10 + 7/10 = 10/10 or 1
5/10 + 6/10 = 11/10 or 1 1/10
1 + 1 1/10 = 2 1/20