Decompose Fractions
Draw and shade the following fractions. Then represent each as a sum of unit fractions.
2/6
2/6= 1/6 + 1/6
Are the fractions equivalent? Show how you know.
1/2 and 4/8
4/8 divided by 4= 1/2
1/2 = 1/2
Yes
Use <, >, or = to compare the fractions.
3/5 and 7/5
3 < 7
So 3/5 < 7/5
6/10+3/10
6/10+3/10=9/10
6/8-3/8
6/8-3/8= 3/8
Draw and shade the following fractions. Then represent each as a sum of unit fractions.
5/6
5/6= 1/6 + 2/6 +2/6
5/6= 1/6 + 1/6 + 1/6 + 1/6 + 1/6
5/6= 2/6 + 3/6
5/6= 1/6 + 4/6
Are the fractions equivalent? Show how you know.
10/8 and 15/12
10/8 times 3= 30/24
15/12 times 2= 30/24
Yes
Use <, >, or = to compare the fractions.
6/6 and 10/10
6/6=1
10/10=1
1=1
5/7+6/7
5/7+6/7=11/7
7/7+4/7= 1 4/7
8/6-2/6
8/6-2/6=6/6
6/6=1
Draw and shade the following fractions. Then represent each as a sum of unit fractions.
8/10
8/10= 7/10 + 1/10
8/10= 5/10 + 3/10
8/10= 4/10 + 4/10
8/10= 2/10 + 6/10
Are the fractions equivalent? Show how you know.
3/2 and 16/12
3/2 times 6= 18/12
18 does not equal 16 so 18/12 does not equal 16/12
No
Use <, >, or = to compare the fractions.
7/5 and 4/10
7/5 times 2=14/10
14 > 4
So 7/5 > 4/10
5/12+6/12+2/12
5/12+6/12+2/12= 13/12
12/12+1/12= 1 1/12
43/100-28/100
15/100
Draw and shade the following fractions. Then represent each as a sum of unit fractions.
7/6
7/6= 5/6 + 2/6
7/6= 3/6 + 4/6
7/6= 1/6+6/6
Are the fractions equivalent? Show how you know.
3/6 and 2/4
3/6 times 4=12/24
2/4 times 6= 12/24
Yes
Use <, >, or = to compare the fractions.
10/3 and 16/6
10/3 times 2= 20/6
20 > 16
So 10/3 > 16/6
2/6+5/6+4/6
2/6+5/6+4/6= 11/6
6/6+5/6= 1 5/6
1-3/8
1-3/8= 8/8-3/8
8/8-3/8=5/8
Draw and shade the following fractions. Then represent each as a sum of unit fractions.
9/12
9/12= 1/12 + 8/12
9/12= 2/12 + 7/12
9/12= 3/12 + 6/12
9/12= 4/12 + 5/12
Are the fractions equivalent? Show how you know.
8/9 and 5/3
8/9 times 3= 24/27
5/3 times 9= 45/27
24 does not equal 45 so 24/27 does not equal 45/27
No
Use <, >, or = to compare the fractions.
13/8 and 9/6
13/8 times 3= 39/24
9/6 times 4= 36/24
39 > 36
So 13/8 > 9/6
Tom, Bill, and Pat each had identical containers of worms. Tom used 4/6 container. Bill used 5/6 container, and Pat used 3/6 container. How many containers of worms did they use together?
4/6+5/6+3/6= 12/6
12/6=2
They used 2 containers of worms
Tom, Bill, and Pat went fishing. They spent 5/8 of their money on worms. What fraction of their money did they have left?
8/8-5/8=3/8
They had 3/8 of their money left