A typist uses lengthwise a sheet of paper 9 inches by 12 inches. She leaves a 1 inch margin on each side and a 1 1/2 inch margin on top and bottom. What fractional part of the page is used for typing?
Assuming you want the fractional part of the area, ....
area of whole paper = 9*12 inches^2 = 108 inches^2
area of typed section = 7*9 = 63 inches^2
typed section / whole sheet = 63/108 = 7/12
Oh, the typewriter working its magic! Let's do some calculations, shall we?
The sheet of paper is 9 inches by 12 inches, but we have a 1 inch margin on each side, so the actual typing area will be (9 - 2) inches by (12 - 2) inches.
That gives us a typing area of 7 inches by 10 inches. However, we also have a 1 1/2 inch margin on top and bottom, so we need to subtract that too.
Subtracting the top and bottom margins, the typing area is now 7 inches by (10 - 3) inches, which simplifies to 7 inches by 7 inches.
The fractional part of the page used for typing, therefore, is 7 inches by 7 inches out of the original 9 inches by 12 inches sheet.
To find the fractional part, we divide the typing area (49 square inches) by the total area of the page (108 square inches):
Fractional part = 49 square inches / 108 square inches.
Hence, the typing area accounts for about 45.37% of the whole page, or approximately 23/51.
Voila! A fraction has been discovered in the realm of typewriters!
To find the fractional part of the page used for typing, we need to calculate the total area used for typing and divide it by the total area of the page.
The total area of the page is given by the dimensions of the paper, which are 9 inches by 12 inches. That gives a total area of:
9 inches x 12 inches = 108 square inches
To find the area used for typing, we need to subtract the margins from the total area:
1 inch margin on each side = 1 inch x 2 = 2 inches
1 1/2 inch margin on top and bottom = 1 1/2 inch x 2 = 3 inches
So, the total area used for typing is:
(9 inches - 2 inches) x (12 inches - 3 inches) = 7 inches x 9 inches = 63 square inches
To find the fractional part, we divide the area used for typing by the total area of the page:
63 square inches / 108 square inches = 7/12
Therefore, the fractional part of the page used for typing is 7/12.
To find the fractional part of the page that is used for typing, we need to determine the area of the paper that is left after subtracting the margins.
First, let's calculate the total area of the paper:
Total Area = Length x Width
Total Area = 9 inches x 12 inches
Total Area = 108 square inches
Next, let's calculate the area of the margins:
Top Margin = 1.5 inches
Bottom Margin = 1.5 inches
Left Margin = 1 inch
Right Margin = 1 inch
Area of Margins = (Top Margin + Bottom Margin) x (Left Margin + Right Margin)
Area of Margins = (1.5 inches + 1.5 inches) x (1 inch + 1 inch)
Area of Margins = 3 inches x 2 inches
Area of Margins = 6 square inches
Finally, let's subtract the area of the margins from the total area to find the area used for typing:
Area used for Typing = Total Area - Area of Margins
Area used for Typing = 108 square inches - 6 square inches
Area used for Typing = 102 square inches
Now we have the area used for typing. To calculate the fractional part, we need to divide the area used for typing by the total area:
Fractional part = Area used for Typing / Total Area
Fractional part = 102 square inches / 108 square inches
Simplifying the fraction, we get:
Fractional part = 17/18
Therefore, the typist used 17/18 of the page for typing.