Equivalent Fractions
!= or =
1/6 square2/12
1/6 = 2/12
<, >, or =
2/8 square3/6
2/8<3/6
Any fraction with 1 as the numerator is called this?
unit fraction. Here are some examples
1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12, 1/14, 1/16
There are two cakes on the table that are the same size. The first cake has 1/2 left. The second cake has 6/10 left. Which cake has more left?
The second cake with 6/10 has more left
1/2<6/10
Compare this fraction using a number line or model
6/12 square 5/6
6/12<5/6
!= or =
2/5 square 6/10
2/5 !=6/10
<, >, or =
1/3 square 5/15
1/3 = 5/15
Name same amount in fractions is called this?
What is an equivalent fraction
example
4/5 = 8/10
are equivalent because 4 x 2 = 8 and 5 x 2 = 10. To find an equivalent fraction, you must multiply or divide it by the same factor (number)
Tammy walked 8/10 of a mile. Julie walked 6/12 of a mile. Who walked the more?
Tammy walked more because 8/10 is more than 1/2 and 6/12 is equivalent to a 1/2
Use a model or number line to compare these fractions
4/10 square 2/5
4/10 = 2/5
Sophia's vegetable garden is divided into 12 equal sections. She planted carrots in 8 of the sections. If she redesigned her garden and divided it into 3 sections how many sections will have carrots?
2 sections will have carrots, because
8/12 = 2/3
<, >, or =
4/5 square 7/12
4/5 >7/12
A known size or amount that helps you understand a different size or amount
Benchmark fractions
Jackson has three candy bars. He ate 3/8 of the first candy bar, 3/4 of the second candy bar, and 3/6 of the third candy bar. What did he ate from the most to the least?
3/4 <3/6<3/8
Use a model or number line to compare these fractions
1/2, 3/4, 5/6
1/2<3/4<5/6
Jamal finished 2/6 of his homework. Margaret finished 3/6 of her homework, and Steve finished 10/12 of his homework. Which two students finished the same amount of homework?
Jamal and Steve
2/6 = 10/12
Elle ran 3/8 mile, Ava ran 3/4 mile, and Mackenzie ran 3/6 mile. Order the runners from greatest to least.
Ava 3/4, Mackenzie 3/6, and Elle 3/8
What strategy can you use to find a common denominator?
List the multiples of both the denominators
3/4 , 1/2, 5/12, and 2/3
list the multiples of each denominator 3: 3,6,9,12
2: 2,4,6,8,10,12 /12: 12, 24, 26 and 4:4,8,12
Katie has 15/20 of a dollar in her pocket. Lisa has the same amount. If Lisa has fourths, what fraction of a dollar does Lisa have in her pocket?
Lisa has 3/4 of a dollar, because 15/20 = 3/4
Monique, Laverda, and Aldith have the same cups and they fill it with water. Monique filled her cup 6/15 full, Laverda filled her cup 2/3, and Aldith filled her cup 3/5 full with water. Whose cup has the least amount of water? Create a number line or model
Monique has the least amount of water
6/15<3/5<2/3
Alaya ran 4/6 of a mile. Jennifer ran the same amount in thirds. How many miles did Jennifer run?
Jennifer ran
2/3
Amy's math notebook weighs 1/2 pound, her science notebook weighs 7/8 pound, and her history notebook weighs 3/4 pound. What is the weighs in order from lightest to heaviest?
1/2 pound, 3/4 pound, and 7/8 pound
Joe cut a pan of lasagna into third-size pieces. He kept 1/3 and gave the rest away. Joe will not eat his part all at once. How many sixth can be cut his lasagna?
Joe can cut it into
2/6
because 1/3 = 2/6, if I multiply the numerator 1 and the denominator 3 by 3
Byron and Caden have both completed the same amount of their homework so far. If Byron has completed 8/12 of his homework, how much has Caden completed in thirds
2/3
because 2/3 is equivalent to 8/12
James's mother gave him recipe for trail mix.
3/4 cup cereal 1/4 cup peanuts
2/3 cup almonds 1/2 cup raisins
Order the ingredients used in the recipe from least to greatest
1/4<1/2<2/3<3/4