Multiply Fraction & Whole Number
10
Find this product: 1/4 x 2/5
1/10
How is multiplying 3/4 x 5 like repetitive addition?
3/4 x 5 = 3/4 + 3/4 + 3/4 + 3/4 + 3/4. Multiplication makes addition faster.
name that term: Comparing the size of a product to the size of one factor based on the size of the other factor, without doing multiplication
scaling!
Find the product: 3/4 x 20
15
Find the product: 3/4 of 1/6
1/8
Draw a diagram to model 1/3 x 4
you could draw a model like in the textbook on pages 334 or 342
without multiplying, which product is the greatest?
A. 2/3 x 3 1/2
B. 4/5 x 2/3
C. 2/3 x 3/3
A. 2/3 is the common factor to each expression, so look to the other factor, 3 1/2 is the greatest, so the product will be the greatest
find the product: 3/4 of 12
9
We ordered a giant sheet pizza for the bowling ally. 1/2 of the pizza got dropped on the floor, unfortunately. By the time we left, only 1/8 of the pizza that was edible remained. How much pizza was left?
1-1/2 = 1/2; 1/8 or 1/2 = 1/16 of the pizza remained
Draw a diagram to model 2/3 x 3/4
see models on page 346 in the textbook (remember the clear overlays?)
For Twin day, Ms Haywood and I bought identical blue sweaters, size 6. We each washed ours before wearing them, and something happened in the wash. Ms Haywood's turned out 4/5 of its starting size and mine turned out 1 1/2 the starting size. Whose sweater shrank in the wash?
Justin wanted to make 4 batches of gumbo. If you need 2/3 cup shrimp for each batch, how many cups of shrimp will he need in total?
4 x 2/3 = 8/3 = 2 2/3 cups
The Valentines Day road race was 3 1/3 miles long. Jeff make it 2/3 of the way before he got a cramp and had to stop. How far did he run?
2/3 or 3 1/3 = 2/3 x 10/3 = 20/9 = 2 2/9 miles
Model the area of a rectangular garden with a length of 3/4 ft and width of 4/5.
see models like on page 354 in textbook, draw the grid
In a multiplication equation, which term is the answer? factor or product?
product is the answer to a multiplication problem. you multiply factors by each other to get the product
When you multiply a whole number by a fraction, will the answer be larger or smaller? (please answer with sentences and provide an example)
smaller: you are taking a portion of a whole number, so the answer will be less. ex: 1/4 of 16 = 4.
When we made pancakes, we adjusted our recipe that served 4 people to on that served 17. That meant that we actually made 4 1/4 servings of the recipe. If we used 2 1/4 cups of flour for one serving, how much flour did we use in total?
2 1/4 x 4 1/4 = 9/4 x 17/4 = 9 9/16 cups
How is multiplication of mixed numbers similar to multiplication of fractions?
once you convert the mixed number to an improper fraction, you multiply numerators and denominators, then write the answer in simplest form (which could be a mixed number)
If Heidi's bedroom is 4 1/4 yd wide by 6 2/3 yard long, what area of carpet will she need to cover the floor?
4 1/4 x 6 2/3 = 17/4 x 20/3 =85/3 or 28 1/3 square yards