Long Division with Fraction Remainders

Divide (Write remainder as a fraction)

• 56.8

If you wanted to convert ⁸/₉ to a decimal, what would be the first step?

• Place 8 on the right side of the decimal point

• Divide 8 by 9

• Divide 9 by 8

• Place 9 on the right side of the decimal point

Division problems like this will ALWAYS repeat when...

Select ALL that apply

• you want them to look cool.

• remainders can never be evenly divided.

• the denominator is an odd number

• the denominator is a 9 or a multiple digit number of 9's

• a terminating decimal because the remainder of 150 CAN be evenly divided by 45.

• a terminating decimal because all division will eventually end.

• a repeating decimal because the remainder of 150 will NEVER be evenly divided by 45.

• a repeating decimal because the NUMERATOR of 45 will never be evenly divided by 7.

If we are talking about food or things that you can measure in a division word problem and there is a remainder, how can we interpret the remainder?

• Write the remainder as a fraction.

• Use only the quotient.

• Add 1 to the quotient.

• Use only the remainder.

We have learned that we can't split people or animals in fraction pieces. So if they are the remainders in division problems we need to:  

• Use them as a fraction.  

• Use only the quotient.  

• Add 1 to the quotient.  

• Use only the remainder.  

• 171r3

• 173

• 175r3

• 172r2

Divide

2,546/35

• 70

• 72

• 76 r3

• 72 r26

Divide

5406/57

• 94 r48

• 95

• 94 r38

• 95 r14

Divide

8,010/60

• 135

• 133

• 134 r 43

• 133 r30