Question # Sarah's craft project uses pieces of yarn that are 1/8 yard long. She has a piece of yarn that is 3 yards long. How many 1/8-yard pieces can she cut and still have 1 1/4 yards left?

Fractions
ANSWERED Sarah's craft project uses pieces of yarn that are $$\frac{1}{8}$$ yard long. She has a piece of yarn that is 3 yards long. How many $$\frac{1}{8}$$-yard pieces can she cut and still have 1 $$\frac{1}{4}$$ yards left? First, we find how is allotted for the $$\displaystyle{\frac{{{1}}}{{{8}}}}$$ yard long pieces by finding the difference of $$\displaystyle{3}\ {y}{a}{r}{d}{s}\ {1}\times{\frac{{{1}}}{{{4}}}}$$ yards:
$$\displaystyle{3}-{1}{\left(\times{\frac{{{1}}}{{{4}}}}\right)}={\left(\times{\frac{{{12}}}{{{4}}}}\right)}-{\left(\times{\frac{{{5}}}{{{4}}}}\right)}=\frac{{7}}{{4}}{y}{a}{r}{d}{s}$$
Then, we divide $$\times \frac{7}{4}$$ yards by $$\times \frac{1}{8}$$ yard to find the number of $$\frac{1}{8}$$ yard long pieces:
$$\displaystyle{\left(\times{\frac{{{7}}}{{{4}}}}\right)}÷{\left({\frac{{{1}}}{{{8}}}}\right)}={\left(\times{\frac{{{7}}}{{{4}}}}\right)}\times{8}={14}\ pi{e}{c}{e}{s}$$