A board 7 3/8 inches is cut to 3/4 of its size. What is the size ? _______ inches?
I need some help starting this Please.
7_3/8 = original board size
The orginal board is cut to 3/4 of its original size.
The word [of] means multiply.
Therefore, 7_3/8 x 3/4 = ???
177/32 is that right
Yes.
Why?
Original board = 7_3/8 inches, right?
You cut 3/4 of its size (its size is 7_3/8 inches).
The board is now 177/32 inches or as a mixed number 5_17/32 inches, which is 3/4 smaller than 7_3/8 inches (the original size of the board).
Got it?
Yes thank you
To find the size of the board after it is cut to 3/4 of its original size, we need to multiply the original size of the board by 3/4.
First, we need to convert the board size to a single fraction.
The given board size is 7 3/8 inches, which can be written as an improper fraction as (7 * 8 + 3) / 8 = 59 / 8 inches.
Next, we need to multiply the original size (59 / 8 inches) by 3/4.
To multiply fractions, we simply multiply the numerators together and the denominators together.
(59 / 8) * (3 / 4) = (59 * 3) / (8 * 4) = 177 / 32 inches.
Therefore, the size of the board after it is cut to 3/4 of its original size is 177/32 inches.
If you would like, I can also convert this fraction to a mixed number or a decimal.