Susannah purchased 8 5/6 feet of ribbon. How many bows can she make with all that ribbon? Show 2 different ways that you could figure it out. Include at least 1 diagram in your explanation.
If 1 bow = 4 ft 1 ft = 12 inches
8 can make 2 of 4 ft
5/6 can only make 1 of 4 ft
together 2 + 1 = 3 bow.
( was it right? )
3 bow....
1 bow = 4 ft
3 bow done (ㆆ _ ㆆ)
To figure out how many bows Susannah can make with 8 5/6 feet of ribbon, we can approach it in two different ways. Let's get started:
Method 1: Conversion to a Fraction:
Step 1: Convert the mixed number (8 5/6) into an improper fraction.
To do this, multiply the whole number (8) by the denominator (6) and add the numerator (5) to get the new numerator. Keep the denominator the same. So, the improper fraction becomes (8 * 6 + 5) / 6 = 53/6.
Step 2: Determine the length of ribbon required to make one bow.
If let's say, a bow requires 1 foot of ribbon, then we can use the formula fraction of ribbon for one bow = total ribbon length / length per bow.
In this case, it would be 53/6 feet / 1 foot = 53/6.
Step 3: Simplify the fraction.
To simplify the result, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified form of 53/6 is 53/6.
Result: Susannah can make 53/6 bows or approximately 8.83 bows.
Method 2: Division with a Diagram:
Step 1: Draw a diagram representing the ribbon length.
Considering that the ribbon length is 8 5/6 feet, we can draw a long line and divide it into six equal parts.
Step 2: Divide the length into the required length per bow.
If we assume one bow requires 1 foot of ribbon, we can use this to divide the line into segments of 1-foot length each until we reach the end of the ribbon.
Step 3: Count the number of segments.
By counting the number of segments, we can find out how many bows can be made with the given ribbon length.
Result: By counting the segments in the diagram, we can determine the number of bows Susannah can make with 8 5/6 feet of ribbon.
By using either of these methods, we can find that Susannah can make approximately 8.83 bows from the given length of ribbon.