Equivalent Fractions
List 3 fractions that are equivalent to 4/8.
Some possible answers are:
1/2, 3/6, 5/10, 8/16
Decide if the comparison is TRUE or FALSE and show how you know.
4/8 = 12/24
OR
True because if you multiply the numerator and denominator of 4/8 both by 3 you get 12/24.
Place 1/4, 2/4, 3/4 and 4/4 on a number line.
Will check boards for accuracy.
Look at the model drawn on the board. Name two equivalent fractions for the part that is shaded.
Compare the fractions using <, >, or =.
7/8 2/6
Tell how you compared them.
7/8 > 2/6
I compared them using the benchmark fraction 1/2. 7/8 > 1/2 and 2/6 < 1/2, so 7/8 must be greater than 2/6.
Put the fractions in order from least to greatest.
1/4, 1/3, 1/12, 1/2
1/12, 1/4, 1/3, 1/2
Decide if each statement is true or false:
1. 1/4 = 4/12
2. 1/3 = 4/12
3. 1/6 = 3/18
1. False
2. True
3. True
Find a common denominator to compare the fractions.
3/4 5/8
3/4 = 6/8
6/8 > 5/8, so 3/4 > 5/8
Put the fractions in order from greatest to least:
3/6, 12/8, 1/4, 6/8
12/8, 6/8, 3/6, 1/4
Is 5/12 equivalent to 1/2? Show how you know.
No, 5/12 is not equivalent to 1/2. I know because 6/12 = 1/2 so 5/12 < 1/2.
Use these numbers to make the inequality true:
4, 2, 10, 6
?/? < ?/?
One possible answer:
2/10 < 4/6
Jenny has 4/5 of a cookie. Robby has 1/3 of a cookie. Billy has 7/8 of a cookie. Ally has 1/2 of a cookie. List the amounts of cookie from greatest to least.
7/8, 4/5, 1/2, 1/3
Place 3/6 on a number line. What is one equivalent fraction for 3/6? Place your equivalent fraction on a number line as well.
Compare the fractions using <, >, or =.
4/6 3/10
Then, tell how you compared them without common denominators.
4/6 > 3/10
I used 1/2 as a benchmark fraction. 4/6 is greater than 1/2, but 3/10 is less than 1/2, so 4/6 must be greater than 3/10.
I have:
5/6 cup of orange juice
1/2 cup of apple juice
11/12 cup of berry juice
1/8 cup of grape juice
List the JUICES I have from least to greatest.
grape juice, apple juice, orange juice, berry juice