It takes 18 3/8 inches of wood to make a frame for a small snapshot. Ms. Jones has 3 yards of wood. How many frames can she make?
3 yards = 9 feet because 1 yard = 3 feet
9 feet / 18.75 in = 9*12 / 18.75 =
108/18.75 = 5.76
She can make 5 frames with some wood left over.
This makes sense because 18 3/8 in is about 1 foot and 1/2 so thus 9 / 1.5 = 18/3 = 6 about. Since it is a bit over thus it is 5.
36 inches = 1 yard
(3 * 36)/18.375 = ________ frames
Round down since she can't make a part of a frame.
Thanks for the help on all 3 of the problems :)
I agree
I agree sam
To find out how many frames Ms. Jones can make, we need to convert the given measurement of wood into a unit that matches with the quantity of wood she has.
First, let's convert 3 yards into inches since we know the measurement of wood for each frame is given in inches.
Since 1 yard equals 36 inches, 3 yards would equal 3 * 36 = 108 inches.
Now that we have the measurement of wood Ms. Jones has in inches, we can calculate the number of frames she can make by dividing the total wood length she has by the length required for each frame.
The length required for each frame is given as 18 3/8 inches. To make calculations easier, let's convert this mixed number into an improper fraction.
18 3/8 can be written as (18 * 8 + 3) / 8 = 147 / 8 inches.
Now, we can find the number of frames by dividing the total wood length by the length required for each frame.
Number of frames = Total wood length / Length required for each frame
Number of frames = 108 inches / (147/8 inches)
To divide by a fraction, we multiply by the reciprocal (or invert) of the fraction.
Number of frames = 108 inches * (8/147)
Number of frames ≈ 864/147
To reduce the fraction, we can find the greatest common divisor (GCD) between 864 and 147, which is 3.
Number of frames ≈ (864/3) / (147/3)
Number of frames = 288/49
So, Ms. Jones can make approximately 288/49 frames with the given 3 yards of wood.