Post on 18-Jan-2016
transcript
Introducing:
•Unlike fractions
HOW TO COMPARE FRACTIONSHOW TO COMPARE FRACTIONS
34
12
The fractions and have unlike denominators and unlike numerators.
Fractions that have unlike denominators are unlike fractions.
Compare Fractions 1Compare Fractions 1
34
58
To compare and , rename one or both fractions with like denominators making them like fractions. Then compare the numerators. In this case, is renamed as so that we can compare the numerator of and .
Compare Fractions 2Compare Fractions 2
34
68
68
34
58
58
If Anna is of a mile away from the shore and Alo is of a mile away from the shore, how much more does Anna need to reach Alo?
12
78
12
78
Anna is of a mile away from the shore.
*So Anna needs to row of a mile to reach Alo.
48
38
12
X44
= 48
78
- 48
= 38
The numerators are the same in and . The smaller denominator will give a larger fraction.
Compare Fractions 3Compare Fractions 3
35
34
35
1220
34
1520
35
< 34
The fractions and have the same numerator. The denominator 5 in the fraction means that the unit has more parts, making the parts smaller. Therefore, is smaller than .
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25
25
23
23
25
The larger the denominator the smaller the fraction.
Compare Fractions 5Compare Fractions 5
Saki and Hachi decided
to go skin animals for fur.
Saki filled of the cart
while Hachi filled
of the cart. How much of
the cart is filled?
110
25
25 X
22
= 410
110
+410
=510
Hachi and Saki filled up of the cart with fur, which can be simplified to .
510
12
12
Another method for comparing is to think of the fractions. In this example it is obvious that is smaller than . For one thing, is smaller than and is larger than .
Compare Fractions 6Compare Fractions 6
78
13
13 1
278
12
Being able to compare fractions by picturing them in your mind will help you arrive at an answer more quickly than with calculation. As mentioned before, as the numerator increases it means that you have selected more parts. As the denominator increases it means that the parts are smaller.
Which is larger, or ?
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58
716
is larger. It takes practice, but being able to estimate by visualizing the fraction (number sense) will help you to understand fractions better.
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58
Tasina and Hoksinato went on a
hunt for buffalo but they were
surrounded by a group of snakes.
To protect themselves, Tasina shot
of the snakes while Hoksinato
shot of the snakes. How
many snakes did Tasina and
Hoksinato kill?
14
38
14
x22
=28
38
+28
=58
• Tasina and Hoksinato shot of the snakes.
58