- 2.2 Multiply A Fraction By A Whole Numbermr. Mac's Page Number
- 2.2 Multiply A Fraction By A Whole Numbermr. Mac's Page Numbers
- 2.2 Multiply A Fraction By A Whole Numbermr. Mac's Page Sheet
Multiplication of fraction and whole number.
To multiply a fraction and a whole number you can use a model: Write the number sentence each model represents. Draw a picture to help you multiply. Find the product. Check students’ drawings. 3 5 12 2 20 12 2 3 3 9 6 4 2 12 9 5 10 4 Step 1 Draw 12 rectangles to show the cards. Step 2 The denominator of the. Unit fractions can also be expressed using negative exponents, as in 2 −1, which represents 1/2, and 2 −2, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two, e.g. Proper and improper fractions.
To multiply fraction by a whole number, it is necessary to multiply numerator by a whole number, and to leave without modifications a denominator. Simplify the fraction if needed.
Examples of multiplication fraction and integer
Find the product of fraction and natural number:| 3 | · 2 | = | 3 · 2 | = | 6 |
| 7 | 7 | 7 |
Find the product of fraction and natural number:
| 1 | · 4 | = | 4 | = | 2·2 | = | 2 |
| 2 | 2 | 2 |
Multiplication of fractions.
- To multiply fractions
- multiply the numerators and multiply the denominators;
Examples of multiplication of fractions
Find the product of two fractions:| 3 | · | 2 | = | 3 · 2 | = | 6 |
| 7 | 5 | 7 · 5 | 35 |
Find the product of two fractions:
| 10 | · | 3 | = | 10 · 3 | = | 2 · 5 · 3 | = | 5 | = | 5 |
| 9 | 4 | 9 · 4 | 2 · 2 · 3 · 3 | 2 · 3 | 6 |
Multiplication of mixed numbers.
- To multiply mixed numbers:
- converting mixed numbers to improper fractions;
- multiply the numerators and multiply the denominators;
- if this fraction is improper then convert fraction to a mixed number.
Examples of multiplication of mixed numbers
Find the product of two mixed numbers: | 2 | 1 | · | 1 | 2 | = | 2 · 2 + 1 | · | 1 · 3 + 2 | = | 5 | · | 5 | = | 5 · 5 | = | 25 | = | 6 · 4 + 1 | = 4 | 1 |
| 2 | 3 | 2 | 3 | 2 | 3 | 2 · 3 | 6 | 6 | 6 |
Find the product of mixed number and integer:
| 4 | 1 | · | 6 | = | 4 · 3 + 1 | · | 6 | = | 13 · 6 | = | 26 |
| 3 | 3 | 3 |
2.2 Multiply A Fraction By A Whole Numbermr. Mac's Page Number
Find the product of mixed number and fraction:2.2 Multiply A Fraction By A Whole Numbermr. Mac's Page Numbers
| 2 | 1 | · | 3 | = | 2 · 7 + 1 | · | 3 | = | 15 | · | 3 | = | 15 · 3 | = | 3 · 3 | = | 9 | = | 7 + 2 | = 1 | 2 |
| 7 | 5 | 7 | 5 | 7 | 5 | 7 · 5 | 7 | 7 | 7 | 7 |
2.2 Multiply A Fraction By A Whole Numbermr. Mac's Page Sheet
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