Vocabulary and Rules
Where does the denominator of a fraction live?
Numerator lives on the top and denominator lives on the bottom of the fraction.
Solve this problem:
3/4 + 5/20
15/20 + 5/20 = 20/20= 1
Solve the problem
1/2 + 2/4 + 3/6 =
18/12= 1 6/12= 1 1/2
Jackie and Marleen are sharing a cake. The are sharing a carrot cake that came from QFC. Jackie ate 1/4 of her side of the cake and Marleen ate 1/4 of her side of the cake. How much cake have these two friends eaten together?
They have eaten 1/2 of the cake together.
What does the "same, same" rule say?
If the denominators are the same simply add across.
Lowest Common Denominator
Solve the problem:
15/21 + 15/7 =
15/21 + 45/ 21 = 60/21= 2 6/7
Solve the problem:
3/9 + 1/3 + 5/3 =
2 1/3
Harrison and David are running on a soccer field. They are running on a green soccer field at their local park. Harrison has pledged to run 2/4 of the field. But, David only pledged to run 1/3 of the field. How much of the soccer field will these two pledge to run together?
What does the "different, different" rule say?
If the denominators are Not the same, solve to find the common denominator first.
Define common denominator and give an example.
A common multiple of two or more denominators.
15 is a common denominator of 1/3 and 2/5.
Compare these fractions: Use the signs >, <, =
4 3/7 ______ 4 6/7
For mixed numbers, if the whole numbers are different, the number with the greater whole number is greater. If the whole numbers are the same, the number with the greater fraction or decimal is greater.
If the denominators are the same, the fraction with the greater numerator is greater because it represents more unit fractions.
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Solve the problem:
5/10 + 2/2 + 4/ 10=
2 9/10
Maile has to run 3/4 of a mile everyday to have enough exercise to make up for PE classes. In PE classes she typically run with shoes on. These shoes are blue. Maile today ran 3/4 and 1/4 today. How many total miles did Maile run in today?
Maile ran 1 mile today.
How would you say this fraction 5 2/7?
Comparing Fractions: finish the sentence....
If the numerators are the same, the fraction with the ______ denominator is greater because its unit fractions are greater.
Compare these fractions: Use signs <,>, =
2 4/5 _____ 3 1/5
For mixed numbers, if the whole numbers are different, the number with greater whole number is greater. If the whole numbers are the same, the number with the grater fraction or decimal part is greater.
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Solve the problem:
7/49 + 1/7 + 1/7=
3/7
Olaf needs a new carrot nose. He only likes really orange and pointy carrots. He uses about 1/4 and 1/4 of a carrot every month. How many carrots does Olaf need to have in oder to change his nose twice in a month?
Olaf will need to 1/2 of carrot per month to be able to change his nose twice a month.
Describe the process to turn a mix number into a improper fraction?
Example: 5 1/15 into an improper fraction
1. Multiple large number by the denominator of fraction.
2. Add the product of step one
3. Put step two answer over the fractions denominator
Comparing Fractions: finish the sentence......
If the denominators are the same, the fraction with the ______ ______ is greater because it represents more unit fractions.
greater numerator
1/2 + 1/2 =
2/2= 1
Solve the problem:
2/6 + 10/12 + 1/3 =
1 5/12
Paxton is trying to find the best recipe for muffins in the entire world. He has narrowed it down t 3 recipes. He is now trying to figure out how much sugar he will need to be able to make all 3 recipes. The first recipe developed by Chrissy Teagan calls for 1/3 cups of sugar. Gordon Ramsey's, the second recipe, call for 1/2 cup of sugar. Lastly, the third recipe developed by Jet Tila calls for 2/4 cup of sugar. How much sugar does Paxton need to have minimally to make all three recipes?
Paxton will be to have minimally 1 1/3 cup of sugar to make all three recipes.
If a number is being divided by itself, what is always the answer?
1
Ex: 5/5=1