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 1/4 x 8?
2 or 8/4
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
3 11/8 or 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
Kai has a glass that only holds 3/5 of a cup of water. How many cups of water will he have if he fills his glass 7 times? Write an equation with the variable,w, and show your work.
3/5 x 8 = w
24/5 or 4 4/5
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
7 9/8 or 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.
Dave rides his bike to work and back everyday for a total of 5/8 of a mile. How many miles does Dave ride in 5 days? Write an equation with the variable, r, and show your work to solve.
5/8 x 5 = r
25/8 or 3 1/8
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.
There are 6 students in the garden. They each collected flowers and 2/3 of them were tulips. How many total tulips did the students collect?
6 x 2/3 = f
12/3 or 4
Two thirds is the same as ___ ninths
6 ninths
Jai has 5 3/ 6 yards of fabric for a new project. He uses 2 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 - 2 5/6 = m
2 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).
I walked 9/10 of a mile to school. How far did I walk after 9 days?
9 x 9/10 = w
81/10 or 8 1/10
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.