a sheet of address labels is 6 3/4 inches long and 4 1/3 inches wide the length is divided into sections that are 1 1/8 inches long and the width is divided into sections that are 1 1/12 inches wide solve this multi-step problem dividing with fraction how many sections are there???

1 answer

To solve this problem, we need to divide the length and width of the sheet into their respective sections.

For the length:
6 3/4 inches ÷ 1 1/8 inches = (27/4 inches) ÷ (9/8 inches)
To divide by a fraction, we can multiply by its reciprocal:
(27/4 inches) * (8/9 inches) = (27 * 8) / (4 * 9) inches = 216/36 inches
We simplify the fraction:
216/36 inches = 6 inches

So, there are 6 sections in the length.

For the width:
4 1/3 inches ÷ 1 1/12 inches = (13/3 inches) ÷ (13/12 inches)
(13/3 inches) * (12/13 inches) = (13 * 12) / (3 * 13) inches = 156/39 inches
156/39 inches = 4 inches

So, there are 4 sections in the width.

In conclusion, there are 6 sections in the length and 4 sections in the width.