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
asked 2021-01-02

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?

Expert Answers (1)

2021-01-03

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:
\(\displaystyle{\left(\times{\frac{{{7}}}{{{4}}}}\right)}÷{\left({\frac{{{1}}}{{{8}}}}\right)}={\left(\times{\frac{{{7}}}{{{4}}}}\right)}\times{8}={14}\ pi{e}{c}{e}{s}\)

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