time to conquer our fraction phobias! a mixed number has a whole number part and a fraction part....
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![Page 1: Time to conquer our fraction phobias! A mixed number has a whole number part and a fraction part. Such as 3 2 5 We connect the whole-number name to](https://reader036.vdocument.in/reader036/viewer/2022062322/5697bfbb1a28abf838ca0ef2/html5/thumbnails/1.jpg)
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Time to conquer our fraction phobias!
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A mixed number has a whole number part and a fraction part. Such as
3
25
We connect the whole-number name to the fraction name with the word “and.” This mixed number is read three AND
two fifths.
3 - Whole number part
2/5 - Fraction part
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Follow these stepsFollow these steps
1. Find a common denominator.
2. Add or subtract the whole number part.
3. Add or subtract the numerators.
4. Keep the common denominators.
5. Simplify.
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1. Common denominator.
2. Add whole number.
3. Add numerators.
4. Keep the common denominators.5. Simplify.
3
+ 2_____________________
Let’s try an Let’s try an example.example.
5 44
Since 4 divided by
4 = 1…
4
1
4
3
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2
+ 3
Try a Try a harder harder problem.problem.
RememberRemember to check to see if the smaller
denominator will divide evenly into the larger
denominator.
4 will divide evenly into 8; therefore, 8 is the least common denominator (LCD).
4
1
8
3
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22X =
x =
4 x 2 = 8 1 x 2 = 2
The renamed
fraction is 2 eighths2 eighths.
Multiply the fraction partfraction part by another name for 1. The special, select name for
1 is 2 divided by 2.2 divided by 2.
1. Common denominator1. Common denominator
4
1
8
3
8
2
8
3
2
+ 3
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2
+ 3
22
X =
x =
52. Add whole number.
3. Add numerators.
4. Keep denominator.
5. Simplify.
4
1
8
38
2
8
3
8
5
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Tim and Ken are runners. On Wednesday Tim ran 4 miles and Ken ran 3 miles. How much further did Tim run?
8
7
3
2
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Tim and Ken are runners. On Wednesday Tim ran 4 miles and Ken ran 3 miles. How much further did Tim run?
4
- 3_________________________
RememberRemember, when the smaller denominator will not divide
evenly into the larger denominator, you must find the least common multiple for the
denominator.
8
7
3
2
8
7
3
2
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Multiples of 8: 0, 8, 16, 2424, 32, …
Multiples of 3: 0, 3, 6, 9, 12, 15, 18, 21, 2424, 27, …
4
- 3_________________________
8
7
3
2
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4
- 3
33 =
=
2124
1624
88
7 x 3 = 21 8 x 3 = 24
2 x 8 = 16 3 x 8 =
24
Don’t give up. We are almost there. See you
on the next slide.
x
x
1. Multiply the fraction part by a name for one to get a common denominatorcommon denominator.
8
7
3
2
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4
- 3
33 =
=
2124
1624
88
x
x
2. Subtract whole number.1
3. Subtract the numerators.
5
4. Keep the denominators.5. Simplify (if necessary).
24
Yea!
8
7
3
2
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Jeffrey is baking brownies. So far he has put in 2 cups of flour and 1 cups of sugar.
What is the total amount of ingredients that he already has in his bowl?
4
1
3
2
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2
+ 1
Multiples of 3: 0, 3, 6, 9, 1212, 15, …
Multiples of 4: 0, 4, 8, 1212, 16, …
It gets easier if you practice.4
1
3
2
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2
+ 1
33
1 x 3 = 3
4 x 3 = 12= 3
12
44
= 2 x 4 = 8 3 x 4 = 12
812
“I think I can. I think I can. I think I can.”
x
x
1. Multiply the fraction part by a name for one to get a common denominator.common denominator.
4
1
3
2
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2
+ 1
33 = 3
12
44
=8
12
x
x
2. Add whole number.
3
3. Add numerators.
11
4. Keep denominator.
125. Simplify.
4
1
3
2
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Now for Now for a tricky a tricky
problemproblem..4 -1
Is smaller than ? If so, borrowing may be necessary but perhaps there is an easier way.
3
1
6
5
3
1
6
5
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4 - 1
Is smaller than ?
One way to compare fractions is to visualize
them.
<
3
1
6
5
3
1
6
56
5
3
1
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is smaller thanis smaller than
4
-1
Don’t worry. Make improper fractions of the mixed numbers.
3
1
6
5
3
1
6
5
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4
-1
3 x 4 + 1=133
= 6 x 1 + 5116
Now follow the steps and shoo your phobias away.
Make improper fractions.Make improper fractions.
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4
-1
=133
= 116
1. Find common denominator.1. Find common denominator.
x
x
22 =
=
266
116
2. There is no whole number.
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4
-1
=133
= 116
x
x
22 =
=
266
116
3. Subtract the numerators.
15
4. Keep the denominators.
6
3
1
6
5
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4
-1
=133
= 116
x
x
22 =
=
266
116
Simplify.
156
156
.÷ 33 = 5
2=
3
1
6
5
2
12
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Now it’s time to show what
you know.