mult/div fractions
HS Math
Created on October 22, 2024
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Transcript
Objectives
- find the product of two rational numbers in simplest form
- express the quotient of rational numbers in simplest form
Multiplying and Dividing Fractions
recall greatest common factor
When two values have no common factors, they arecalled relatively prime.
simplest form
A fraction is in SIMPLEST FORM when the numerator and denominator have no common factors.
Reducing Fractions
simplest form
A fraction is in SIMPLEST FORM when the numerator and denominator have no common factors.
simplest form
If a fraction is not in simplest form, we reduce it bydividing the numerator and denominator by the their GCF.
Desmos
simplest form
You can always use Desmos to see if a fraction is in simplest form.
Multiplying fractions
To multiply fractions, multiply straight across and simplify.ORCross out common factors, then multiply and simplify if necessary
Answer
Multiplying fractions
To multiply fractions, multiply straight across and simplify.ORCross out common factors, then multiply and simplify if necessary
Answer
- Participate on mic or in the chat.
- Be Respectful.
- Pull your own weight.
- Be encouraging.
- Stay on Topic.
- Report violations of these expectations to Mrs. Carnes.
Breakout Room Expectations
Closest Birthday: Share screenFarthest Birthday: AnnotatorThird person: Screen shot & chat directly to Mrs. Carnes.
real world app!
Carl had two-thirds of a pizza left over from dinner last night. For lunch, he ate one-fourth of the remaining pizza for lunch. What fraction of Carl's pizza is left after he finished lunch?
reciprocal
In order to divide rational numbers, you need to use the reciprocal of the second fraction.
Dividing Fractions
multiplicative inverse
Multiplying by a reciprocal is also known as multiplying by the multiplicative inverse. Any time you multiply a number by its reciprocal, the product is equal to 1.
Dividing Fractions
dividing fractions
To divide fractions,remember to KEEP/CHANGE/FLIPKeep the first fractionCHANGE the divide symbol to multiplyFLIP the second fractionThen multiply and simplify.
Answer
dividing fractions
To divide fractions,remember to KEEP/CHANGE/FLIPKeep the first fractionCHANGE the divide symbol to multiplyFLIP the second fractionThen multiply and simplify.
Answer
real world app
A cereal box contains 16 cups of cereal.Each serving size is cups.How many servings are in the box of cereal?
Answer
you should be able to:
- find the product of two rational numbers in simplest form
- express the quotient of rational numbers in simplest form
Complete your CFU!