Bernadette bought tow pieces of ribbon one piece is 6 1/4 feet long and the other is 11 1/2 feet long find the total length of the ribbon
The total length of the ribbon is 17 3/4 feet.
To find the total length of the ribbon, you'll need to add together the lengths of the two pieces. Here's how to do it:
Step 1: Convert the mixed numbers to improper fractions.
- The first piece of ribbon is 6 1/4 feet long, which can be written as 25/4 feet.
- The second piece of ribbon is 11 1/2 feet long, which can be written as 23/2 feet.
Step 2: Find a common denominator.
- In this case, the denominators are 4 and 2, so the common denominator is 4.
Step 3: Convert both fractions to have a denominator of 4.
- Multiply the numerator and denominator of the first fraction by 1, so it remains unchanged: (25/4) x (1/1) = 25/4.
- Multiply the numerator and denominator of the second fraction by 2, to make the denominator 4: (23/2) x (2/2) = 46/4.
Step 4: Add the fractions.
- Now that both fractions have a common denominator of 4, you can add them together: 25/4 + 46/4 = 71/4.
Step 5: Simplify the fraction, if necessary.
- 71/4 cannot be simplified any further.
Step 6: Convert the improper fraction back to a mixed number, if desired.
- 71/4 as a mixed number is 17 3/4.
Therefore, the total length of the ribbon is 17 3/4 feet.
To find the total length of the two pieces of ribbon, you need to add their lengths together.
First, let's convert both lengths into fractions.
The first piece of ribbon is 6 1/4 feet long.
Since there are 4 quarters in a whole, we can rewrite the length as 6 4/4 feet.
Adding the whole number 6 to the fraction 4/4, we get 6 4/4 feet.
The second piece of ribbon is 11 1/2 feet long.
Again, the fraction can be rewritten as 11 2/2 feet.
Adding the whole number 11 to the fraction 2/2, we get 11 2/2 feet.
Now, we can add the two lengths together:
6 4/4 feet + 11 2/2 feet
To add the whole numbers, we add 6 and 11, which gives us 17.
Now let's add the fractions:
4/4 + 2/2
Since the denominators are the same, we can add the numerators:
4 + 2 = 6
Putting it all together, the total length of the two pieces of ribbon is 17 6/4 feet, or 17 3/2 feet.