Comparing and Ordering Fractions
Compare these fractions: 1/5 and 1/4
1/5 < 1/4
Name 2 fractions that are equivalent to 1/2.
Name 1 fraction that is equivalent to 1/6.
Possible answers: 2/12, 3/18, etc.
Name 1 fraction that is equivalent to 9/18 with a smaller numerator and denominator.
3/6 or 1/2
Madison ate 4/8 of her pizza and Brielle ate 1/2 of her pizza. Who ate more?
They both ate the SAME amount of pizza.
5/4 > 9/12
Name 2 fractions that are equivalent to 1 whole.
Possible answers: 2/2, 3/3, 4/4, 5/5, etc.
Name 1 fraction that is equivalent to 3/7.
Possible answers: 6/14 or 9/21
Using a smaller numerator and denominator, what's 1 fraction equivalent to 8/10?
4/5
Aubree painted 3/12 of her wall. Judah painted 8/12 of his wall. Who painted more of their wall?
Judah; because 8/12 > 3/12.
Use the benchmark fraction 1/2 to compare 3/8 and 4/6.
1/2 = 4/8 --> 4/8 > 3/8
1/2 = 3/6 --> 1/2 < 4/6
So, 3/8 < 4/6
What is 1 fraction equivalent to 75/100?
Possible answer: 3/4
Name 2 fractions equivalent to 2/5.
Possible answers: 4/10 and 8/20
If you cut 32/50 in half, what fraction would you have?
16/25
Levi mowed 2/5 of his yard. Nate says that means Levi has mowed 4/6 of his yard. Is Nate correct? Explain why.
No; 2/5 and 4/6 are not equivalent fractions.
Possible model: A pizza cut into fourths and then cut into eighths. Six out of the eight pieces should be shaded.
Name 2 fractions that are equivalent to 1/8.
True or False: 3/4 = 6/12 because I can multiply the numerator by 2 and the denominator by 3.
FALSE; you have to multiply the numerator and the denominator by the SAME NUMBER (what happens on the top, happens on the bottom).
If you divided 12/16 into fourths, what fraction would you have?
3/4
Sierra is baking and needs to use any fraction of sugar that is less than half a cup (1/2). What are 2 possible fractions she could use for the sugar?
Order the fractions from least to greatest:
5/8, 1/2, 2/3 and 2/5
(least) 2/5, 1/2, 5/8, 2/3 (greatest)
Name fractions equivalent to 7/49 and 9/81.
9/81 = 1/9
How could you use multiplication to find an equivalent fraction for 3/4.
Possible answer: Multiply the 3 and 4 by the same number, 2. The equivalent fraction is 6/8.
How could you use division to find an equivalent fraction for 9/12?
Divide 9 and 12 by the common factor of 3. The equivalent fraction is 3/4.
Some students went on a walk together. Jayelee walked 3/12 of a mile. Logan walked 1/3 of a mile. Clayton walked 2/5 of a mile. Julian walked 1/4 of a mile. Who walked the most?
Clayton; 2/5 > 3/12, 1/4, and 1/3.