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Glencoe Math: Course 2, Volume 1

GM

Glencoe Math: Course 2, Volume 1 View details

8. Divide Fractions

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Exercise 17 Page 333

Dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.

-7 45

Practice makes perfect

First, let's rewrite the mixed number as a fractions.

-51/5 ÷ 2/3

a bc=a* c+b/c

-5 * 5 + 1/5 ÷ 2/3

Multiply

-25 + 1/5 ÷ 2/3

Add terms

-26/5 ÷ 2/3

MoveNegFracToNum

Put minus sign in numerator

-26/5 ÷ 2/3

Now, recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. -26/5 ÷ 2/3=-26/5 * 3/2 When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!

-26/5 * 3/2

Multiply fractions

-26 * 3/5 * 2

Rewrite -26 as -13 * 2

-13 * 2 * 3/5 * 2

CancelCommonFac

Cancel out common factors

-13 * 2 * 3/5 * 2

Simplify quotient

-13 * 3/5

(- a)b = - ab

-39/5

MoveNegNumToFrac

Put minus sign in front of fraction

-39/5

The quotient is - 395. We can also write this fraction as a mixed number.

-39/5

Write as a sum

-35+4/5

Write as a sum of fractions

-(35/5 + 4/5)

Calculate quotient

-(7 + 4/5)

Add terms

-7 45

Subchapter links

Guided Practice p.330

Independent Practice p.331-332

H.O.T. Problems p.332

Standardized Test Practice p.332-334

Extra Practice p.333

Common Core Review p.334