Multiplication of Fractions with Mixed Numbers. Times You Would Multiply a Mixed Number Times a Fraction In a car race, the track is 2 ¼ miles long. If.

Multiplication of FractionsMultiplication of Fractionswith Mixed Numberswith Mixed Numbers

Times You Would Multiply a Times You Would Multiply a Mixed Number Times a FractionMixed Number Times a Fraction

In a car race, the track is 2 ¼ miles long. If the car breaks down ½ way through the course, how far did you go?

1/2 of 2 1/4 or 1/2 x 2 1/4

Multiplying FractionsMultiplying FractionsConceptual UnderstandingConceptual Understanding

When you multiply a positive mixed number by a fraction between 0 and 1 the product is less than the mixed number.

1¼ x ½ = 5/8Look at the diagram on the next slide to understand why.

Multiplying FractionsMultiplying FractionsConceptual UnderstandingConceptual Understanding

¼ ¼ ¼ ¼

1/8

1¼ x ½ = 5/8

1/8 1/8 1/8 1/8

¼ ¼ ¼ ¼

How to Find a Fraction of a How to Find a Fraction of a Mixed NumberMixed Number

The first thing to remember is “of” means multiply in mathematics.

of = x


Step 1 - When you see a fraction problem you know when you read “of” in the problem you multiply.

ofx12

493


Step 2 – Change the mixed number to an improper fraction.

x12

493x+

27

27 + 4

319


Step 3 – Multiply the numerators straight across.

x12

319

31=


Step 4 – Multiply the denominators straight across.

x12

319

31=18


Step 5 – Simplify your answer. In this case change the improper fraction to a mixed number.

x12

319

31=18

18)311

1813

1318

Multiply and SimplifyMultiply and Simplify

14

=x 47x35

35 + 4

5 + 397

3928

28)391

1128


47

=x 19x27

27 + 1

3 + 289

11263

63)1121 49

63÷

÷77

= 79


45

=x 34x24

24 + 3

6 + 274

10820

20)1085 8

20÷

÷44 = 2

5


25

=x 14x24

24 + 1

6 + 254

5020

20)502 10

20÷

÷1010 = 1

2

You’reshining!

Multiplication of Fractions with Mixed Numbers. Times You Would Multiply a Mixed Number Times a Fraction In a car race, the track is 2 ¼ miles long. If.

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