How Many 11/10 Meter Ribbons Can Be Cut From a 11/2 Meter Ribbon?

The problem at hand is to determine how many 11/10 meter ribbons can be cut from a single 11/2 meter long ribbon. This question requires an understanding of basic arithmetic and the concept of division to find the solution.

Understanding the Ribbons

The length of the original ribbon is given in mixed fractions, 11/2 meters, which is equivalent to 5.5 meters. Each segment or ribbon we wish to cut from it is also given in fractional form, specifically 11/10 meters, or 1.1 meters when converted to decimal form.

Solving the Problem

Using division, we can determine the number of 1.1-meter segments that can be cut from the 5.5-meter ribbon. To do this, we divide the total length of the original ribbon by the length of each segment:

5.5m ÷ 1.1m 5 segments

This calculation shows that five 1.1-meter ribbons can be cut from a 5.5-meter ribbon.

Using the Unitary Method

The unitary method is a technique that simplifies complex problems by first solving for a single unit and then scaling up to find the answer for a given quantity. Applying this method to our problem, we divide the total length of the ribbon by the length of each segment:

Total ribbons Length of large ribbon ÷ Length of small ribbon

Total ribbons (11/2) m ÷ (11/10) m

This simplifies to:

Total ribbons (11/2) ÷ (11/10) 5 ribbons

Note that 11/10 meters means 11 meters are divided into 10 equal parts, hence each part is 1.1 meters. Therefore, in half the length of 11 meters, there are 5 equal parts, each of 1.1 meters. This further confirms that 5 ribbons of 1.1 meters can be cut from a ribbon of 5.5 meters.

Additional Calculations

Several alternative methods can also be used to solve this problem:

Direct Division: 5.5 meters divided by 1.1 meters equals 5.

Converting Fractions to Decimals: 11/10 meters is 1.1 meters, and 11/2 meters is 5.5 meters. Therefore, the calculation becomes:

5.5 m ÷ 1.1 m 5 ribbons

Overall, using either method, the conclusion remains the same: five 1.1-meter ribbons can be cut from a 5.5-meter ribbon.