Fraction Fundamentals
Name the two parts of a fraction.
Numerator and Denominator
When adding with fractions, you only work with the ______________ while the ___________ stays the same.
When adding with fractions, you only work with the numerators while the denominator stays the same.
7/8 - 3/8
4/8 or 1/2
A mixed number is a simplified version of an _____.
Improper fraction
What is the GCF of 12 and 36?
12
What is the purpose of the denominator.
Tells how many parts make one whole.
1/5 + 3/5
4/5
11/15 - 1/5 =
8/15
Convert the following into a mixed number:
12/5
2 and 2/5
What is the LCM of 3, 5, and 4?
60
What is the purpose of the numerator?
Tells how many of the parts of a whole are being dealt with.
4/10 + 5/20 =
13/20
Liam had 10/18 of a chocolate bar. He gave a piece the size of 1/3 of a chocolate bar to his friend Jones.
How much of the original chocolate bar does Liam have left?
4/18 or 2/9
Convert the mixed number into an I.F. :
4 1/3
13/3
Finish the phrase: "I can't add, I can't subtract...."
"...'til my denominators match."
Every fraction is this type of problem:
Camila and Gavin are making fruit punch. They mix together 5/6 quarts of lemonade, 1/2 quart of mango-peach juice, and 3/4 quart of mixed berry juice. How many quarts of punch will this make?
2 and 1/12 quarts
A recipe calls for 7/8 cup of flour. Samantha added it to the mixing bowl. Samantha then added 5/12 cup of white sugar. She also used 1/2 cup of brown sugar.
How much more flour than white sugar was added to the recipe?
11/24 cup
Sofia is training for a bike race.
On Monday, she rode 3 1/4 miles.
On Wednesday, she rode 2 2/3 miles.
On Friday, she rode 4 5/6 miles.
How many miles did Sofia ride in total that week?
10 and 3/4 miles
Explain why it's important to have matching denominators when adding and subtracting with fractions.
Because you cannot add and subtract with parts that are different sizes and the parts' size are determined by the denominator.
The secret denominator to every whole number is __.
One.
Olivia is following a recipe and needs to measure out different sweetening ingredients using measuring cups. Here's what she used:
1/4 cup of sugar
1/3 cup of brown sugar
1/6 cup of honey
1/8 cup of maple syrup
How much sweetener did Olivia use in total?
21/24 or 7/8
A recipe needs 9/10 cup of milk, but Lilly only has 1/4 cup.
How much more milk does she need?
13/20 cup
Julia had 12 1/2 yards of ribbon for her craft projects. She used 3 2/5 yards to wrap gifts, 2 3/8 yards for decorations, and 1 1/6 yards for a costume.
How much ribbon does Julia have left?
5 67/120 yards
Define LCM and GCF.
LCM = least common multiple: it's the smallest number you can use all the numbers to multiply to.
GCF = greatest common factor: it's the largest number you can use to divide all the the numbers.