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Multiplying and Dividing of Fractions

Multiplying and Dividing of Fractions. Section 3.4 Pages 123 – 129 Section 3.5 Pages 130 – 136. Quick Review. When we multiply or divide two rational numbers we must always be aware of the signs of the two numbers. Positive ( x or ) positive = positive

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Multiplying and Dividing of Fractions

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  1. Multiplying and Dividing of Fractions Section 3.4 Pages 123 – 129 Section 3.5 Pages 130 – 136

  2. Quick Review • When we multiply or divide two rational numbers we must always be aware of the signs of the two numbers. • Positive (x or ) positive = positive • Positive (x or ) negative = negative • Negative (x or ) positive = negative • Negative (x or ) negative = positive

  3. This would be a good chart to copy down! OR

  4. Reminder: Which one is different?

  5. Multiplying Simple Fractions- Finding the Product • To multiply two simple fractions, complete the following steps. • 1. Multiply the numerators. • 2. Multiply the denominators. • 3. Reduce the product. • 4.Identify the resulting sign on the question ( -/+) • 5. Reduce to lowest terms!!! Example

  6. Try ME:

  7. Multiplying a Whole Number and a Fraction – Finding the Product • To multiply a whole number and a fraction, complete the following steps. • 1. Convert the whole number to a fraction. • 2. Multiply the numerators. • 3. Multiply the denominators. • 4. Reduce the product. • 5. Identify the resulting sign ( -/+)

  8. Try ME:

  9. What about mixed numbers? • If a question contains a mixed number, simply convert it to an improper fraction and… • 1. Multiply the numerators. • 2. Multiply the denominators. • 3. Reduce the product. • 4. Identify the resulting sign ( -/+)

  10. Try ME:

  11. Multiplying Rational Numbers in Decimal form • 1. Predict the sign ( +/-) • 2. Using compatible numbers to solve the question • 3. Place the correct number of decimal places into your product

  12. Try ME: (-0.4)( -0.7) (0.5)(- 2.4)

  13. Dividing Simple Fractions- Find the Quotient • To divide one fraction by a second fraction, convert the problem to multiplication and multiply the two fractions. • 1. Change the second fraction to its reciprocal • 2. Multiply the numerators. • 3. Multiply the denominators. • 4. Reduce the quotient. • 5. Identify the sign result of the question (+/-)

  14. What is a reciprocal? • Reciprocal  The numerator and denominator are switched. • OR the fun way to remember it…

  15. What is a reciprocal? Reciprocal: A fraction doing a handstand!

  16. Try ME:

  17. Dividing Fractions with Mixed Numbers • To divide a fraction by a whole number: • 1. Convert the mixed number to an improper fraction. • 2. Change the second fraction tothe reciprocal • 3. Multiply the numerators. • 4. Multiply the denominators. • 5. Reduce the quotient. • 6. Identify the sign result of the question (+/-) Just like in multiplication, convert all mixed numbers to improper fractions before dividing!

  18. Try ME:

  19. Homework Time! • Pg.127-129 1,2,7,9,11,12,14,16 • Pg.134-136 3,9,12,14, 21

  20. Homework • See the Worksheets that accompany these sections.

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