Reasoning
Explain whether the following is true or not:
8/10 x 2/5 = 16/50
No; product is not simplified
2/3 x 3/11?
2/11
What is the area of a rectangle with side lengths of 3/9 inches and 5/6 inches?
5/18 inches
After dinner, Caroline ate 2/3 of the remaining 3/9 of the apple pie. How much pie did she eat?
2/9
Other than multiplying straight across, how else could you find the product of 2/3 x 3? Explain.
Repeated addition:
2/3 +2/3 + 2/3 = 6/3 = 2
14 x 4/7?
8
Christian had 22 cups of brown sugar, and used 4/12 of the brown sugar for a recipe. How much brown sugar did Christian use?
7 1/3 cups
10/11 of Angel's friends are 5th graders, and 5/7 of his fifth grade friends have already turned 11. What fraction would show the amount of Angel's 11 year old fifth grade friends?
50/77
Explain the mistake that was made:
3 3/6 x 4
18/6 x 4/1
72/6
12
When changing 3 3/6 into an improper fraction, you must add 3 to the product of 3 x 6 to find the correct numerator.
3 6/9 x 3?
11
Chess sets are comprised of 32 pieces, a board, and a timer. An elementary school chess club's chess sets weigh 2 1/7 pounds each. What is the total weight of 9 chess sets?
19 2/7 pounds
In Tiana's wardrobe, 2/10 of her clothes are t-shirts, and 2/6 of her t-shirts are blue. What fraction represents the blue shirts in Tiana's wardrobe?
1/15
Without multiplying, which product is bigger:
2/9 x 11/12 OR 2/3 x 5/5?
How do you know?
2/9 x 11/12 is close to 0 x 1; 2/3 x 5/5 is close to 1 x 1. 0 is less than 1.
2 1/4 x 4 1/2?
10 1/8
Jordyn has 5 water bottles that each weigh 5/8 of a pound. What is the total weight of the water bottles?
3 1/8 pounds
At Paradise Elementary, there are 49 students in 5th grade. Of the 49 students, 2/7 of them are boys. How many of the fifth grade students are boys?
14
Explain (in words) the steps needed to find the product of 4 3/5 x 1 1/7.
1. Keep the denominator 5; multiply 4 times 5, then add 3 to get a new numerator of 23.
2. Keep the denominator 7; multiply 1 times 7, then add 1 to get a numerator of 8.
3. Multiply the numerators: 23 x 8 = 184.
4. Multiply the denominators: 5 x 7 = 35.
5. Simplify by dividing: 184 divided by 35 = 5 with a remainder of 9. The product is 5 9/35.
5 2/3 x 5 3/10?
30 1/30
Bernardo ran 5 2/4 miles everyday for a week, and Yaphett ran 6 3/5 miles everyday for 5 days. Who ran more miles, and what was the difference in miles?
Bernardo ran 5 1/2 more miles than Yaphett.
Zaire and Rhian decided to weigh their backpacks. Zaire's weighs 2 6/8 pounds, and Rhian's weighs 2 1/4 times that. What is the total weight of their backpacks?
8 15/16