Bernadette bought two 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.
if you need to show your work here:
6 1/4+11 1/2=17 3/4
steps explained turn each mixed fraction to an improper fraction and then add them together and boom that's it.
your welcome <3
The answer is 17 3/4
To find the total length of the ribbon, you need to add the lengths of both pieces together.
First, let's convert the mixed numbers to improper fractions for easier calculation.
The first piece of ribbon is 6 1/4 feet long. To convert this to an improper fraction, multiply the whole number (6) by the denominator (4) and add the numerator (1). This gives us 24 + 1 = 25/4.
The second piece of ribbon is 11 1/2 feet long. Converting this to an improper fraction, we have 23/2.
Now, add the two fractions together. The common denominator of 4 and 2 is 4, so we can rewrite the fractions with a common denominator:
25/4 + 23/2
To add these fractions, we need a common denominator. The least common multiple of 4 and 2 is 4. To convert 23/2 into a fraction with a denominator of 4, multiply the numerator (23) by 2 and the denominator (2) by 2:
23/2 = 23 * 2 / 2 * 2 = 46/4
Now, we can add the fractions:
25/4 + 46/4 = (25 + 46) / 4 = 71/4
So, the total length of the ribbon is 71/4 feet.
If you want to express the answer as a mixed number, divide the numerator (71) by the denominator (4). The quotient is the whole number, and the remainder is the numerator of the fraction:
71 ÷ 4 = 17 remainder 3
Therefore, the total length of the ribbon is 17 3/4 feet.