6th Grade Math Textbook, Progress

Estimate Quotients of Fractions and

Mixed Numbers

8-7

Think

9 
2 , so the

1

3

5

6

quotient is greater than 1.

Think

3 11 , so the

1

2

quotient is less than 1.

You can compare the dividend and the divisor to determine if

the quotient of two fractions is less than 1or is greater than 1.

When the dividend is less than the divisor,

the quotient is less than 1.


When the dividend is greater than the divisor,

the quotient is greater than 1.

You can round mixed numbers to the nearest compatible

whole numbers to help you estimate quotients.

Estimate: 9

5

6 ^2 

1

3 . Estimate: 3^11 

1

2 .

9 ^56  2 ^13  3  11 ^12 

10  2  5 3  12  132 ^14 

estimated quotient estimated quotient

dividend divisor

^17   ^12  1

^17 ^12 , so ^17 ^12 1.

^17 ^12 ^17 ^21 ^27 and^27 1.

?

dividend divisor

 1

 , so  
1.

97  32  97 ^32  27 and 27 
1.

2

3

7

9

2

3

7

9

(^7923)?
3
1
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