Comparing Fractions/ Fraction Landmarks
Compare 1/4 ____ 5/6 using the symbols <,>,=.
Explain how you know using words or models.
1/4 < 5/6
1/4 is less than 2/4 (or 1/2)
5/6 is greater than 3/6 (or 1/2)
Since 5/6 is greater than 1/2, 5/6 is greater than 1/4
What is 1 3/4 - 2/4?
1 1/4
Write two fractions that are equivalent to one half. Show your work.
Sample: 2/4, 2/6. 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20
Paula ate 1 4/8 of a cake, and Catherine ate 2 7/8 of a cake. How much did they eat all together? Write an equation using the variable, c, and show your work.
1 4/8 + 2 7/8 = c
4 3/8
what is a FRACTION?
Pieces or parts of a whole
Write these fractions in order from least to greatest: 7/8, 1/7, 1/10, 2/4
1/10, 1/7, 2/4, 7/8
What is 3 5/8 + 3 6/8?
7 3/8
One third is the same as ____ sixths.
2 sixths
Marley needs 2 1/8 cups of butter, 1 3/8cups of sugar, and 4 5/8 cups of milk for his cake recipe. How much milk, sugar, and butter will he need to make his cake? Write an equation with the variable, m, and show your work to solve.
2 1/8 + 1 3/8 + 4 5/8 = m
8 1/8
What is the top number called?
Numerator
Compare 2/4 ___ 4/8 using <, >, or =.
Explain how you know using words or models.
2/4 = 4/8
Both of these fractions are equivalent to 1/2.
What is 1 2/5 - 4/5?
3/5
One fourth is the same as ___ twelfths
3
Ms. K gave away 2/5 of her pizza to Mr. Bacon and 1/5 of her pizza to Mrs. Baer. What fraction of her pizza does Ms. K have left? Write an equation and show your work.
5/5 - (2/5 - 1/5) = a
2/5 remaining
What does the bottom number (denominator) tell you?
1.) How many pieces there are in a whole 2.) How many times you've split the whole
Compare 2/3 ___ 4/10 using <,>,=.
Explain how you know.
2/3 > 4/10
2/3 is more than 1/2
4/10 is less than 1/2
Since 2/3 is greater than 1/2, 2/3 is greater than 4/10.
What is 2 1/6 - 4/6?
1 3/6
Two thirds is the same as ___ ninths
6 ninths
Jai has 5 3/ 6 yards of fabric for a new project. He uses 5/ 6 yards of fabric on a scarf. How much fabric does he have left? Write an equation with the variable m and show your work to solve.
5 3/6 - 5/6 = m
4 4/6
What does the numerator tell you?
It counts how many pieces you have.
Write these fractions in order from least to greatest: 13/12, 9/10, 4/5, 5/6
4/5, 5/6, 9/10, 13/12
13/12 is the largest because it is greater than 1 whole.
I can compare the other three fractions based on how far they are from 1 whole. (1/5, 1/6, 1/10).
Deepa runs the first part of a relay race in 5 7/10 minutes. Adam runs the next part in 4 9/10 minutes. What is their total time?
10 6/10
three fourths is the same as ___ sixteenths
12 sixteenths
At a school, they were making a new playground. They made half the playground grass and half of it blacktop. Half of the blacktop was basketball courts. What fraction of the whole playground was basketball courts?
1/4
What does the word equivalent mean?
Equal amounts but in a different way.