Decomposing
Decompose 5/6.
1/6 + 1/6 + 1/6 + 1/6 + 1/6
2/6 + 3/6
4/6 + 1/6
2/6 + 2/6 + 1/6
2/5 + 1/5=
3/5
5/9 - 2/9=
3/9 or 1/3
Write the fraction as a multiple of a unit fraction.
7/8 = 7 x ___
1/8
Jimmy spent some time working on his history homework. Then, he spent 4/12 of an hour working on his Spanish homework. He spent 1 hour on homework. What fraction of an hour did Jimmy spend on history homework?
8/12 of an hour
Decompose 4/8 using only unit fractions.
1/8 + 1/8 + 1/8 + 1/8
2/8 + 6/8=
1
1 - 3/4 =
1/4
Write the fraction as a multiple of a unit fraction.
4/6
4 x 1/6
Write a number model to go with the number line.
3/4 -2/4= 1/4
Decompose 6/10 in 2 ways.
1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10
1/5 + 1/10
2/10 + 2/10 + 2/10
4/10 + 2/10
3/10 + 3/10
2/4 + 3/4=
5/4 or 1 1/4
3 1/2 - 1 1/2=
2
Draw a model for 5 x 1/8.
Check drawings.
What fraction will make this equation true.
1 5/10 - ____= 1 1/10
4/10
Decompose 1 2/3.
3/3 + 1/3 + 1/3
3/3 + 2/3
1/3 + 1/3 + 1/3 + 1/3 + 1/3
4/3 + 1/3
1 2/10 + 3 4/10=
4 6/10 or 4 3/5
5 1/3 - 1 2/3=
3 2/3
2 x 5/6=
10/6 or 1 4/6 or 1 2/3
Write an equation that represents the number line.
1/3 + 1/3= 2/3
Decompose 1 1/5 in two different ways.
5/5 + 1/5
4/5 + 2/5
3/5 + 3/5
1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5
3/5 + 2/5 + 1/5
5 3/7 + 4 6/7=
9 9/7 or 10 2/7
6 2/5 - 3 4/5=
2 3/5
6 x 3/4=
18/4 or 4 2/4 or 4 1/2
Sam planted some flowers in her garden. Then she planted some vegetables in 2/6 of her garden. Now, there is 5/6 of her garden is planted. How much of her garden is planted with flowers?
3/6 of her garden