10 Questions
True or false: The value of the product of two proper fractions is smaller than each of the two fractions.
True
True or false: To multiply a mixed fraction to whole numbers, you first convert the mixed fraction to an improper fraction and then multiply.
True
True or false: The value of the product of two improper fractions is more than each of the two fractions.
True
True or false: To divide a whole number by any fraction, you multiply that whole number by the reciprocal of that fraction.
True
True or false: To divide two fractions, you multiply the first fraction by the reciprocal of the second fraction.
True
True or false: The non-zero numbers whose product with each other is 1 are called the reciprocals of that number.
True
True or false: When dividing a whole number by a mixed fraction, you first convert the mixed fraction into an improper fraction and then solve.
True
True or false: The reciprocal of 59 is 95.
False
True or false: The product of two proper fractions is smaller than each of the two fractions.
True
True or false: When multiplying two improper fractions, the value of the product is more than each of the two fractions.
True
Study Notes
Multiplying Fractions
- When multiplying two proper fractions, the product is smaller than each of the two fractions.
- To multiply a mixed fraction by a whole number, convert the mixed fraction to an improper fraction first, then multiply.
Dividing Fractions
- To divide a whole number by a fraction, multiply the whole number by the reciprocal of that fraction.
- To divide two fractions, multiply the first fraction by the reciprocal of the second fraction.
Reciprocals
- Non-zero numbers whose product with each other is 1 are called reciprocals of that number.
Dividing by Mixed Fractions
- When dividing a whole number by a mixed fraction, convert the mixed fraction to an improper fraction first, then solve.
Product of Fractions
- The product of two proper fractions is smaller than each of the two fractions.
- The product of two improper fractions is more than each of the two fractions.
Reciprocal of a Number
- The reciprocal of a number is not always a simple inverse; for example, the reciprocal of 59 is not 95.
Test your understanding of multiplying mixed fractions with this quiz. Learn how to convert mixed fractions to improper fractions and then multiply them with whole numbers. Explore the relationship between the product of proper and improper fractions.
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