Interpret the Remainder

How should you interpret the remainder in this story problem?

Taylor took 560 photographs during summer vacation. She placed 12 photos on each page of her scrapbook, but she had fewer than 12 photos to place on the last page. How many photos did Taylor place on the last page of the scrapbook?

 $560\ \div\ 12\ =\ 46\ r8$  

• Quotient and Remainder as a Fraction in simplest form:   $46\ \frac{2}{3}$  

• Quotient Only:     $46$  

• Add 1 more to the Quotient:      $47$  

• Remainder Only:    $8$  

How should you interpret the remainder in this story problem? 

Marla filled up her car's gas tank and then went on a trip. After she drove 329 miles, she filled her tank with 14 gallons of gas. If she drove the same number of miles on each gallon of gas, how many miles per gallon did she drive?

 $329\ \div\ 14\ =\ 23\ r7$  


• Quotient and Remainder as a fraction in simplest form:  $23\ \frac{1}{2}$  

• Quotient only :   $23$  

• Add 1 more  to Quotient:   $24$  

• Remainder Only:   $7$  

How should you interpret the remainder in this story problem?

The pool director has a list of 123 students who have signed up for swimming lessons. The pool director can register 7 students in each class. What is the least number of classes needed for all the students to be registered in a class?

 $123\ \ \div\ 7\ =\ 17\ r4$  

• Quotient and Remainder as a fraction in simplest form:   $17\ \frac{4}{7}$  

• Quotient Only:  $17$  

• Add 1 more to Quotient:  $18$  

• Remainder Only:   $4$  

How should you interpret the remainder in this story problem?

The director of a pet shelter received a shipment of 1,110 puppy blankets. He stored the blankets equally in 27 boxes and put the leftover blankets in the puppy kennels. How many blankets were put in the puppy kennels?

 $1,110\ \div\ 27\ =\ 41\ r3$  

• Quotient and Remainder as a fraction in simplest form:  $41\ \frac{1}{9}$  

• Quotient Only:  $41$  

• Add 1 more to Quotient:  $42$  

• Remainder Only:  $3$  

How should you interpret the remainder in this story problem?

Kate made 180 ounces of punch for a party. She serves the punch in 8-ounce cups. How many full cups can she serve?

 $180\ \div\ 8\ =\ 22\ r4$  

• Quotient and Remainder as a fraction in simplest form:  $22\ \frac{1}{2}$  

• Quotient Only:  $22$  

• Add 1 more to Quotient:  $23$  

• Remainder Only:  $4$  

How should you interpret the remainder in this story problem?

Mr. Stephens needs to haul 1,518 tons of rock from a construction site. His dump truck can hold 26 tons per load. How many tons will Mr. Stephens need to haul in the last load to move all of the rock?

 $1,518\ \div26\ =\ 58\ r10$  

• Quotient and Remainder as a fraction in simplest form:  $58\ \frac{5}{13}$  

• Quotient only:  $58$  

• Add 1 more to Quotient:  $59$  

• Remainder Only:  $10$  

How should you interpret the remainder in this story problem?

Ronnie has 320 stamps in his stamp collection. He put 18 stamps on each page of his new stamp album, but he had fewer than 18 stamps to put on the last page. How many stamps did Ronnie put on the last page of the album?

 $310\ \div\ 18\ =\ 17\ r4$  

• Quotient and Remainder as a fraction in simplest form:  $17\ \frac{2}{9}$  

• Quotient Only:  $17$  

• Add 1 more to Quotient:  $18$  

• Remainder Only:  $4$  

How should you interpret the remainder in this story problem?

Ashley baked 152 muffins. She baked 16 muffins in each batch. How many batches of muffins did she bake?

 $152\ \div\ 16\ =\ 9\ r8$  

• Quotient and Remainder as a fraction in simplest form:  $9\ \frac{1}{2}$  

• Quotient Only:  $9$  

• Add 1 more to Quotient:  $10$  

• Remainder Only:  $8$  

How should you interpret the remainder in this  story problem?

There are 212 people who have signed up for cooking classes. If there will be 9 people in each class, what is the least number of classes needed for all the students to be registered in a class?

 $212\ \div\ 9\ =\ 23\ r5$  

• Quotient and Remainder as a fraction in simplest form:  $23\ \frac{5}{9}$  

• Quotient Only:  $23$  

• Add 1 more to Quotient:  $24$  

• Remainder Only:  $5$  

How should you interpret the remainder in this story problem?

Aaron bought 138 inches of wire. He cut the wire into 9 pieces that were the same length. What was the length of each piece of wire?

 $138\ \div\ 9\ =\ 15\ r3$  

• Quotient and Remainder as a fraction in simplest form:  $15\ \frac{1}{3}$  

• Quotient Only:  $15$  

• Add 1 more to the Quotient:  $16$  

• Remainder Only:  $3$