6th Grade Math Textbook, Fundamentals

Remember:A reciprocal is

the multiplicative inverse of

a number.

ba• ba 1, when aand b^0

Think

3 is close to the estimate of 3.

The answer is reasonable.

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 &KDSWHU

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Update your skills. See page 413 XV.

Divide Mixed Numbers

Objective To divide positive and negative mixed numbers • To evaluate algebraic

expressions involving division of fractions and mixed numbers • To simplify complex fractions

containing mixed numbers

Jerome measured his frog’s leap at 6 inches.

This was 1 times as far as his leap yesterday.

How far did the frog leap yesterday?

To find the distance of yesterday’s leap, divide 6 by 1.

First estimate by rounding to the nearest integer.

6  6 1  2 6  2  3 estimated quotient

To divide mixed numbers, first rename each mixed number as a fraction.

6  1  Rename as fractions.

•

 Simplify using the GCF, then multiply.

 3 Divide to rename as a mixed number.

So yesterday’s leap was 3 inches long.

To divide positive and negative mixed numbers,

use the same sign rules you use for dividing integers.

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Multiply the reciprocal of the divisor by

the dividend.

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• Divide:  3  2

 3  2  Rename as fractions.

 • reciprocal of divisor



   1013 1103 unlike signs, negative quotient

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• Divide:  2  ( (^1) )
 2  ( (^1) ) () Rename as fractions.
 •() reciprocal of divisor

  1 like signs, positive quotient
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