Equivalent Fractions
__/9 = 2/3
6/9
True or False: 6/12 in simplest form is 3/6
False! 6/12 in simplest form is 1/2
True or False:
4/12 = 1/3
True!
True or False: 1/9 + 3/9 + 4/9 = 8/9
True!
7 4/5 - 2 3/5
5 1/5
1/4 = __/12
3/12
Simplify 3/9
1/3
Compare using <, >, =
1/2 ____ 6/8
Decompose 4/10 in two different ways.
Answers will vary
3 2/12 + 2 4/12
5 6/12 or 5 1/2
3/4 = __/8
6/8
Simplify 4/10
2/5
Compare using <, >, =
3/12 _____ 2/10
Decompose 8/9 in two ways
Answers will vary
6 5/8 + 5 4/8
12 1/8
Last week, 6/10 of the BTS cafeteria recyclables were plastic bottles. 2/5 of the BTS cafeteria recyclables were paper products. Tricia says that the amount plastic bottles recycled is the same as the amount of paper products. Is she correct? Explain why or why not.
No, she is not correct. 6/10 = 3/5, not 2/5. So there are actually more plastic bottles than paper products.
Simplify 6/9.
On Friday, Starbucks made a lot of sales! 4/8 of their sales were beverages. 2/6 of their sales were from treats. Did they make more sales on beverages or drinks?
Beverages because 4/8 > 2/6
Is 2/5 + 1/5 + 1/5 a way to decompose one whole? Explain why or why not.
No, because 5/5 is one whole and the sum of the fractions is only 4/5.
4 5/10 - 1 7/10
2 8/10 or 2 4/5
Miss Basile is making her famous pizza dough. She needs 3/4 cup of warm water, but she only has a 1/8 measuring cup. How many times will she have to fill up the 1/8 cup to get the right amount of warm water? (Hint: How many eights are equivalent to 3/4?)
6/8. She will need to fill the cup 6 times
because 6/8 = 3/4
Jackie is making chocolate chip cookies. The recipe calls for 3/4 of a cup of chocolate chips. Is this fraction in simplest form? Explain why or why not.
Girls because 8/20 < 6/10
Wendy says that you can decompose 9/10 in more than three ways. Is she correct? Why or why not?
Yes! You can add the unit fraction nine times or decompose in various other ways...
2/10 + 8/10
5/10 + 3/10 + 1/10
6/10 + 1/10 + 2/10
9 3/8 - 6 5/8
2 6/8 or 2 3/4