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Fundamentals of Mathematics, 2008a

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264<br />

CHAPTER 4.<br />

INTRODUCTION TO FRACTIONS AND MULTIPLICATION<br />

AND DIVISION OF FRACTIONS<br />

missing factor = (product) ÷ (known factor)<br />

We get<br />

M = 9 4 ÷ 3 8 = 9 4 · 8<br />

3<br />

=<br />

3 2<br />

)9 )8<br />

·<br />

)4 )3<br />

1 1<br />

=<br />

3·2<br />

1·1<br />

= 6<br />

Thus, 3 8 <strong>of</strong> 6 is 9 4 .<br />

For convenience, let's convert the mixed numbers to improper fractions.<br />

M · 9<br />

7 = 27<br />

14<br />

Now, using<br />

missing factor = (product)÷(known factor)<br />

we get<br />

M = 27<br />

14 ÷ 9 7 = 27<br />

14 · 7<br />

9<br />

=<br />

3<br />

)27<br />

·<br />

)14<br />

2<br />

= 3·1<br />

2·1<br />

= 3 2<br />

1<br />

)7<br />

)9<br />

1<br />

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