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The ideas in this fraction lesson are taken from Math Mammoth Fractions 1 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student. Mixed numbers & how to convert a mixed number into a fraction
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2. Draw pictures to illustrate these mixed numbers.
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Mixed numbers on a number line
3. Write the mixed number illustrated on each number line.
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b. (available in the book) |
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4. Write the fractions and mixed numbers that the arrows indicate.
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Changing mixed numbers to fractions
Multiply the whole number times the
denominator,
then add the numerator. The
result
gives you |
7. Write as mixed numbers and as fractions.
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| 8. Marsha wrote 5 |
9
13 |
as a fraction, and explained why the shortcut works. Fill in. |
There are ____ whole pies, and each pie has _____ slices. So ____ × ____ tells us
the number of slices in the whole pies. Then the fractional part 9/13 means that we
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add _____ slices to that. All total we get ____ slices, and each one is 13th part. So the fraction is |
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9. Write as fractions. Think of the shortcut.
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Changing fractions to mixed numbers
All that is solved by the division 58 ÷ 7! That division tells you how many 7s there are in 58. Now, 58 ÷ 7 = 8 R2. So you get 8 whole pies, with 2 slices or 2 sevenths left over.
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The
Shortcut:
Think of the fraction line as a division symbol, and DIVIDE.
The quotient tells |
10. Write the division problems with remainders as problems of "fractions changing to mixed numbers".
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a. 47 ÷ 4 = 11 R3
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d. 35 ÷ 6 = ___ R ___
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11. Write as mixed numbers or whole numbers.
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Next lesson: adding like fractions
The ideas in this fraction lesson are taken from Math Mammoth Fractions 1 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.
The fast, FUN, and easy way to learn multiplication. Learn the upper times tales in two sittings using mnemonic stories.
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