EQUATIONS
⅚ x 9/10
¾
Sheila is making a small rectangular tray for her art supplies. The tray is 1/2 foot long and 3/4 foot wide.
What is the area of Sheila tray in square feet?
3/8 sq ft
Sofia wants to bake muffins. A recipe uses ¾ cup of flour to make one batch of muffins.
Sofia only makes ⅔ of one batch.
How much flour does Sofia use?
Explain how you know your answer makes sense.
½ cups
London is solving the following equation
¾ x ⅖
He got 6/9. Where did he go wrong ?
He add the denominators instead of multiplying them, 4×5=20, not 9.
Convert 115/12 into a mixed number.
9 7/12
Without calculating, decide if
⅞ x ⅚
is greater or less than ⅚
Explain your reasoning.
Less, because multiplying by a number less than 1 makes it smaller.
2 1/3 x 3/5
7/5 = 1 2/5
Daniel is making a small square coaster for his drink. Each side of the coaster is 5/6 inch long.
What is the area of Liam’s coaster in square inches?
25/36 square inches.
Carlton has a rectangular mat is 1 ½ yards long and ⅔ yard wide.
Only ¾ of the mat is covered with tiles.
What is the area of the part of the mat that is covered with tiles?
¾ yards
Amy is solving the following equation
1 ½ x ¾
She got ⅜. Where did he go wrongWhere did she go wrong ?
She didn't convert the mixed number to an improper fraction.
Convert 15 11/12 into an improper fraction.
191/12
Which expression has the greatest value?
A) 4/9 x 2/3
B) 4/9 x 1 ⅔
C) 4/9 x 8/8
Explain without solving all three completely.
B, because multiplying by a number greater than 1 increases the value.
4/9 x 3/8 x 6
1
Emily is making a small rectangular rug for her reading corner. The rug is 1 1/2 yards long and 2/3 yard wide.
What is the total area of the rug in square yards?
1 yd
Aaron plans to hike 4 ½ on a trail.
On the first day, he hikes 5/9 of the total distance.
On the second day, he hikes ⅔ of the distance he hiked on the first day.
How many miles does Aaron hike on the second day?
1 2/3 miles
Area of a rectangle with sides ⅔ and 3/5 .
Amin writes ⅔ + ⅗ = 5/8
What is the correct answer ?
He added instead of multiplied.
Correct Answer: 2/15
Convert 963/24 into a mixed number.
40 1/8
Solve and explain:
2 ⅔ x ¾
Then answer:
Is the product closer to 2 or 3? Why?
2, because you are multiplying by a number less than 1.
3 1/2 x 1 3/4
49/8 = 6 1/8
Shaomari wants to build a small square play area in his backyard. Each side of the square will be 2 1/4 meters long.
How many square meters of space will Shaomri play area cover?
81/16 = 5 1/16 square meters.
Class 504 uses ⅔ cup of yellow paint to make one batch of green paint.
They make 15 batches in total.
Then they use only ¾ of the green paint for posters.
How many cups of paint are used for the posters?
7 ½ cups.
Sara says: “⅚ x ⅘ must be larger than both numbers because you’re multiplying.”
Not always true. Multiplying by a fraction less than 1 makes the product smaller
Convert 28 7/16 into an improper fraction.
455/16
Elizabeth has a rectangular play mat is 2 ½ feet long and 1 ¾ feet wide.
Find the area of Elizabeth's play mat.
Without redoing the entire calculation, explain whether the area would be greater or smaller if the width were changed to 1 ½ ft.
Area = 4 ⅜ square ft.
The area would be smaller, because the width decrease
(5/6 + 1/3) x 3/4
7/8
Camila has a rectangular garden. One side of the garden is 7/8 meters long, and the other side is 1 3/5 meters long. She wants to cover the entire garden with grass.
How many square meters of grass does Camila need to cover her garden?
1 2/5 square meters
Mr. Rettew's garden is 2 ¾ yards long and 1 ⅖ yards wide.
Only ⅚ of the garden will be planted.
Each bag of soil covers 1 square yard.
How many bags of soil does Mr. Rettew need?
Explain why your answer must be rounded.
4 bags
TJ is finding the area of a rectangle with sides
2 ½ meters and ¾ meters.
TJ’s work:
2 ½ x ¾
= 5/2 x ¾
= 15/6
=2 3/6
Where did he go wrong?
He added the denominators instead of multiplying. Correct Answer: 15/8 = 1 1/8
Convert 1247/35 into a mixed number.
35 22/35
Aaliyah walks her dog in a rectangular dog park. The dog park is 3 ¾ yards long and 2 ⅖ yards wide.
Find the area of the dog park.
The city wants to cover only ⅚ of the park with new grass. How many square yards will be covered?
Without recalculating everything, explain whether the grassed area would be more or less if the width were increased to 333 yards.
Area = 9 sq yd
Grassed area = 7 ½ sq ft
It would be more, because increasing one dimension increases the total area.