A ribbon is 12 3/8 feet long. Into how many 3/4 -foot pieces can it be cut?

(12 3/8) / (3/4) = 16 1/2

To find out how many 3/4-foot pieces the ribbon can be cut into, we need to divide the length of the ribbon by the length of each piece.

The length of the ribbon is given as 12 3/8 feet.

First, we convert the mixed number 12 3/8 into an improper fraction:

12 3/8 = (12 * 8 + 3) / 8 = 99/8

Now, we divide the length of the ribbon by the length of each piece:

99/8 ÷ 3/4

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

99/8 × 4/3

Now, we multiply the numerators (top numbers) and denominators (bottom numbers):

(99 × 4) / (8 × 3) = 396/24

Next, we simplify the fraction:

396/24 = 33/2

Therefore, the ribbon can be cut into 33 pieces of 3/4-foot each.

To find the number of 3/4-foot pieces that can be cut from a 12 3/8-foot long ribbon, we need to divide the length of the ribbon by the length of each piece.

First, let's convert the mixed number 12 3/8 to an improper fraction.

To do that, we multiply the whole number (12) by the denominator of the fraction (8), and then add the numerator (3).

12 x 8 = 96
96 + 3 = 99

So, 12 3/8 is equal to 99/8.

Now, we can divide 99/8 by 3/4 to find the number of 3/4-foot pieces.

When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.

So, we have (99/8) ÷ (3/4).

To divide, we multiply the first fraction by the reciprocal of the second fraction:

(99/8) x (4/3).

To multiply fractions, we multiply the numerators together and the denominators together:

(99 x 4) / (8 x 3) = 396/24.

Now, we can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 12:

396/24 = (396 ÷ 12) / (24 ÷ 12) = 33/2.

Therefore, a ribbon measuring 12 3/8 feet long can be cut into 33 3/4-foot pieces.