Fraction Decomposition
Write an equation that shows 5/12 as the sum of unit fractions
1/12 + 1/12 + 1/12+ 1/12 + 1/12
2/5 + 1/5 =
3/5
6 2/3 + 2 2/3 =
8 4/3 or 9 1/3
Write one equivalent fraction
1/5
2/10, 4/20, 20/100
2 tenths + 18 hundredths
38 hundredths
Write an equation that shows 4/100 as the sum of unit fractions.
1/100 + 1/100+ 1/100 + 1/100+
4/8 + 5/8 =
9/8 or 1 1/8
2 4/10 + 5 8/10 =
7 12/10 or 8 2/10 or 8 1/5
Write two equivalent fractions
1/2
2/4, 3/6, 4/8 etc
68/100 + 1/10
78/100
Decompose 7/10 into a sum of fractions with the same denominator.
1/10 + 3/10+ 3/10 for example.
5/10 + 2/10
Answers will vary.
7/12 + 8/12 =
Solve and express the answer as a MIXED number.
13/12 becomes 1 1/12
5 2/6 + 3 1/6 =
8 3/6 or 8 1/3
Write three equivalent fractions
1/4
2/8, 3/12, 4/16, 25/100
1/10 + 20/100
30/100
Erin ate 2 pieces of a small cake with 5 pieces total. Mike ate 2 pieces of a large cake with 5 pieces total. Does the equation below represent a way to figure out how much cake Mike and Erin ate in all?
2/5 + 2/5 = 4/5
No. The cakes are different sizes, so the wholes are not the same. For this reason, the denominators are not the same, so these fractions can't be added.
Ryan and his 3 sisters painted the walls of their family room. Ryan used 2/3 of a can of paint. Each of his sisters used 1/3 of the same size can. How much paint did they use in all?
5/3 or 1 2/3 cans of paint
Solve and represent the answer in reduced form.
1 5/8 + 2 3/8 =
3 8/8 or 4
Write three equivalent fractions
1/3
2/6, 3/9, 4/12, 8/24, 33/99
1 3/10 + 5 64/100
694/100 or 6 94/100
A large pizza from the Cabin has 10 pieces. Erin usually eats two pieces, and Mike usually eats four. Dell usually eats about 1 piece.
Two questions: Does the equation below accurately represent the amount of pizza the Spampinato-Quigley family will probably eat if they get a pizza from the Cabin tonight? 2/10 + 4/10 + 1/10 = 7/10
And: is one pizza enough to feed their family?
Yes and yes.
Amelia and Hayden both ran laps in PE this morning. Hayden ran 3/8 of a mile more than Amelia. Amelia ran 7/8 of a mile. How much did Hayden run?
10/8 of a mile or 1 2/8 of a mile or 1 1/4 of a mile
Solve and represent the answer in reduced form.
3 2/5 + 1 4/5 + 2 3/5 =
6 9/5 becomes 7 3/5
Write the smallest equivalent fraction you can think of for the fraction below
4/12
1/3
15/10 + 79/100
229/100 or 2 29/100