Equivalent Fractions
True or false? 1/2 = 3/4
False! Why? Prove it to get your points!
Which fraction is greater? 1/2 or 1/4? Prove it!
1/2
1/2 + 1/2 = _______ Be sure to show your proof!
1 whole
5/12 - 1/2 = _______ Be sure to show your proof!
4/12 or 1/3
Alice had two cakes that were the same size. She has 2/4 a cake and a 1/4 of a cake left. How much cake does she have in all?
Prove it by showing your work!
She has 3/4 of a cake.
Give 2 examples of fractions that are equivalent to 1/2
1/2 = 4/8
1/2 = 3/6
1/2 = 2/4
1/2 = 6/12
Answers may vary but the denominator must be double the numerator
Which fraction is greater? 1/8 or 2/4? Prove it!
2/4
1/4 + 2/4 = _______ Be sure to show your proof!
3/4
5/6 - 2/6 = _______ Be sure to show your proof!
3/6 = 1/2
Jesús ran 1/5 of a kilometer in P.E. and then 3/5 of a kilometer during recess playing soccer. How much did he run in all?
Prove it by showing your work!
Jesús ran a total of 4/5 of a kilometer
True or false and why? 1/3 < 4/12
False! They are actually equivalent! Prove it to get your points.
Which fraction is greater? 2/12 or 1/4? Prove it!
1/4
2/5 + 1/5 = _______ Be sure to show your proof!
3/5
8/10 - 3/10 = _______ Be sure to show your proof!
5/10 = 1/2
Tomas had a dozen eggs. He ate 1/3 of them in an omelette and his mom ate 1/6 of them scrambled. How many eggs are left?
Prove it by showing your work!
Half of a dozen, or six eggs are left
Give 2 examples of fractions that are equivalent to 1/3.
1/3 = 2/6
1/3 = 3/9
1/3 = 4/12
1/3 = 7/21
Answers vary, but as long as the denominator is 3x as large as the numerator, it's an equivalent!
Which fraction is greater? 3/4 or 3/6? Prove it!
3/4
2/5 + 2/10 = _______ Be sure to show your proof!
3/5 or 6/10
1/2 - 1/4 = _______ Be sure to show your proof!
1/4
Jacobo cuts a pineapple into 8 pieces. He eats 1/8, Andrés eats 2/8 and Lenka eats 3/8. How much pineapple is left?
Prove it by showing your work!
2/8 or 1/4 of the pineapple is left.
Are there any fractions that have no equivalent fractions? Why or why not?
Nope! Every fraction can be multiplied to find an equivalent... ex: 1/3 = 10/30 or 1/2 = 55/110 or even 8/8 = 2/2.
Which fraction is greater? 9/12 or 3/4? Prove it!
They are equal!
1/3 + 1/9 = _______ Be sure to show your proof!
4/9
1/2 - 1/12 = _______ Be sure to show your proof!
5/12
I am reading a book that is 100 pages long for the read-a-thon. If I read 1/4 of the book each day, how many days will it take me to finish the book? Prove it by showing your work!
It will take me four days to finish it.