Question

Sky has6 1\3 yards of ribbon sky is making bows with the ribbon if sky used 2\3 yard for each bow how many bows can sky make??

Answer 1

To find out how many bows Sky can make, we'll first convert the mixed number \(6 \frac{1}{3}\) yards of ribbon into an improper fraction:

1. Convert \(6 \frac{1}{3}\) to an improper fraction:
\[
6 \frac{1}{3} = \frac{6 \times 3 + 1}{3} = \frac{18 + 1}{3} = \frac{19}{3}
\]

2. Next, we need to determine how many bows can be made with \(2 \frac{2}{3}\) yards of ribbon per bow. First, convert \(2 \frac{2}{3}\) into an improper fraction:
\[
2 \frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{6 + 2}{3} = \frac{8}{3}
\]

3. Now, to find the number of bows Sky can make, we divide the total length of ribbon by the length used for each bow:
\[
\text{Number of bows} = \frac{\text{Total ribbon}}{\text{Ribbon per bow}} = \frac{\frac{19}{3}}{\frac{8}{3}}
\]

4. To divide fractions, we multiply by the reciprocal:
\[
= \frac{19}{3} \times \frac{3}{8} = \frac{19 \times 3}{3 \times 8} = \frac{19}{8}
\]

5. Now, convert \(\frac{19}{8}\) into a mixed number:
- The numerator (19) goes into the denominator (8) a total of 2 times, with a remainder.
- \(19 \div 8 = 2\) with a remainder of \(3\).

So, \(\frac{19}{8} = 2 \frac{3}{8}\).

This means that Sky can make **2 full bows** and will have some ribbon left over.