Comparing Fractions
Which is greater? 1/2 or 4/7?
4/7
1 3/4 + 4 2/4 =
6 1/4
2/5 + 4/5 =
6/5 or 1 1/5
3 2/4 - 1 1/4 =
2 1/4
In a mouse's cage, the exercise wheel is 3/10 of a foot away from the water bottle. The mouse runs from the wheel to the water bottle and then back to the wheel. What is the total distance the mouse ran?
Draw a Picture.
6/10
Which is greater? 3/5 or 3/9?
3/5, because the smaller the denominator, the bigger the pieces.
2 7/10 + 3 2/10 =
5 9/10
2/3 + 1/3 =
3/3 or 1
5 3/7 - 3 3/7 =
2
Puzzled Penguin is confused. He did 2/3 + 1/2 and his answer is 3/5. Explain how puzzled penguin can use ESTIMATION to prove that the answer 3/5 does not make sense.
2/3 rounds to 1
1/2 rounds to 1/2
1 + 1/2 = 1 1/2 NOT 3/5
Order these fractions from LEAST to GREATEST:
1/2, 1/6, 1/3, 1/9
1/9, 1/6, 1/3, 1/2
2 1/2 + 5/6
3 2/6
3/4 - 1/8 =
5/8
2 3/6 - 1 1/3 =
1 1/6
Daniela and Jonathan ordered a pizza. Daniela ate 3/8 of the pizza. Jonathan ate 1/4 of the pizza. What fraction of the pizza did they eat altogether?
5/8
Order these fractions from LEAST to GREATEST using a number line: 3/2, 5/8, 1 3/4, 8/2
5/8, 3/2, 1 3/4, 8/2
4 1/5 + 2 3/10
6 5/10
5/6 - 2/5 =
13/30
5 4/5 - 3 1/4 =
2 11/20
Adrian is hiking along a trail that is 4 7/10 miles long. He hikes 1 3/4 miles, then stops. How many miles are left for Adrian to finish his hike?
2 19/20
Order these fractions from GREATEST to LEAST- using a number line: 2 3/8, 9/3, 11/4, 3/8
9/3, 11/4, 2 3/8, 3/8
6 3/6 + 1 5/8 =
8 6/48
3/7 + 1/5 =
22/35
4 3/5 - 2 3/4 =
1 17/20
TaSoh mixes 7 5/6 gallons of white paint and 4 1/3 gallons of blue paint. After he paints the walls he has 2 gallons of paint left. ESTIMATE how much paint TaSoh used to paint the wall. Explain how you estimated.
7 5/6 rounds to 8.
4 1/3 rounds to 4.
8 + 4 = 12. 12 - 2 = 10.
TaSoh used about 10 gallons of paint on the walls.