Answer:
3 pillows.
\(\frac{3}{20}\) yards of fabric left over.
Step-by-step explanation:
We have been given that Frank bought 9/10 of a yard of fabric He will need 2/7 of a yard to make a small pillow.
To find the number of pillow that Frank can make from available fabric, we will divide total amount of fabric by amount needed to make a small pillow as:
\(\frac{9}{10}\div \frac{2}{7}\)
Convert to multiplication problem by flipping the 2nd fraction:
\(\frac{9}{10}\times \frac{7}{2}\)
\(\frac{9\times 7}{10\times 2}\)
\(\frac{63}{20}\)
\(3\frac{3}{20}\)
We can see that in our quotient there are 3 whole parts, therefore, Frank can make 3 pillows.
Since the fraction part is \(\frac{3}{20}\), therefore, \(\frac{3}{20}\) yards of fabric will be left over.
