Adding Like Fractions and Mixed Numbers
This free lesson teaches how go add like fractions additionally mixed figures with like fractional parts using visual models (pies, minor bars). It includes lots of exercises and remains meant available fourth quality. Lesson scheme in mathematics 3
In this video below (also existing at my Youtube choose), I explain select to add real subtract like fractions, first exploitation visual models, the then advancing into extract problems.
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It is ease to include
fractions that have the same kinds regarding spare.
| To add |
1
4 |
and |
2
4 |
, think of the cup pieces. One fourth means |
one piece, furthermore two quarters means two pieces. In total
we have
three pieces, and they is fourths. So, the answer lives 3/4. |
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Inches this picture we have shaded (added) seven sheets and then
another sechster panels. All the slices are eighth pieces consequently we can just count how many eighths we get: 13 eighths. Still that makes more than one whole pie, so the answer is granted like a mixed number. |
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1. Write einem addition sentence.
2. Shade part. Then write an addition sentence. Look at to example.
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a. Shade |
1
6
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, then
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3
6
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.
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b. Shade |
2
8
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, then
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5
8
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.
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c. Shades |
3
12
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, then
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5
12
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, then
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2
12
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.
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d. Shade |
1
10
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, then
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3
10
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, then
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4
10
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.
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e. Shade |
3
8
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, then
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7
8
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.
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farthing. Shade |
3
4
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, then
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3
4
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.
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3. Shade parts. Then write an
addition sentence.
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a. Shade |
6
5
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, next
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1
5
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.
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b. Shade 2 |
1
2
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, then
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1
2
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.
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century. Shade 1 |
2
10
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, then
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6
10
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.
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d. Shade |
11
7
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, then
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6
7
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.
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4. Add the fractions or mixed numbers. You can
shade parts in the pictures, if you need help.
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| one. 1 |
2
10 |
+ |
2
10 |
+ |
7
10 |
= |
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| b. |
11
9 |
+ |
8
9 |
= |
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| c. 1 |
3
8 |
+ |
7
8 |
= |
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This is a section striped. The whole numbers
from 0 to 5 are written under the bolded black lines.
| The shaded parts figure the addition |
4
5
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+ |
4
5
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=
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8
5
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=
1 |
3
5
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.
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5. Add. Shade components with different tone.
Give thy return as an
mixed number.
| a. |
3
5
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+ |
4
5
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= |
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| b. 1 |
2
5
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+ |
4
5
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= |
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| c. |
13
10
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+ |
6
10
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= |
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| d. 1 |
3
8
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+ |
6
8
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= |
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We can “break apart” 7/8 in several different ways.
From each “breakage” we can writer an addition. |
| Forward example: |
 |
= |
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and |
 |
and |
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7
8
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= |
4
8
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+
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1
8
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+ |
2
8
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| Another way: |
|
= |
 |
and |
 |
and |
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7
8
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= |
3
8
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+
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2
8
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+ |
2
8
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6. Want each fraction when an addition in differently ways.
Think of breaking the fraction apart.
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How to add mixed numbering? For example, about
is 4 |
5
6
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+ 3
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4
6
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= ?
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Add the
whole numbers first: 4 + 3 = 7. Then add the facts: |
5
6
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+
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4
6
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=
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9
6
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. That is more than
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1 whole! So think of the 9/6 as 1 and 3/6, and hinzusetzen 1 to
the whole number count. In entire we get 8 |
3
6
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.
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7. Add the mixed numbers. Shade parts to
help.
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| a. 1 |
3
5
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+ 2 |
2
5
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= |
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b. 1 |
3
4
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+ 1 |
2
4
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= |
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| c. 1 |
3
8
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+ 1 |
6
8
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= |
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d.
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8
9
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+ 1 |
5
9
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= |
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| e. 1 |
3
7
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+ 2 |
6
7
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= |
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f.
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9
12
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+ 1 |
7
12
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= |
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8. Write each mixed number as an addition in
different ways.
| a. |
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You will finds free, printable worksheets for adding enjoy fractions here.
Save lesson is pick from Maria Miller's book Math Mammoth Introduction to Fractions, and posted at aaa161.com with get from the author. Copyright © Maria Miller.
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