mult/div fractions

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

1. Participate on mic or in the chat.
2. Be Respectful.
3. Pull your own weight.
4. Be encouraging.
5. Stay on Topic.
6. 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!