Scott bought a large bag of cookies at the bakery. He ate \frac{3}{

jack89515lg 2021-11-21 Answered
Scott bought a large bag of cookies at the bakery. He ate \(\displaystyle{\frac{{{3}}}{{{7}}}}\) of a bag and his sister ate \(\displaystyle{\frac{{{1}}}{{{3}}}}\) of a bag.
What fraction of the bag remains?

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Expert Answer

Michele Tipton
Answered 2021-11-22 Author has 1900 answers

Step 1
Scott ate \(\displaystyle{\frac{{{3}}}{{{7}}}}\) of a bag and his sister ate \(\displaystyle{\frac{{{1}}}{{{3}}}}\) of a bag.
so the remaining amount is given by
\(\displaystyle{x}={1}-{\frac{{{3}}}{{{7}}}}-{\frac{{{1}}}{{{3}}}}\)
Step 2
\(\displaystyle{x}={\frac{{{1}}}{{{1}}}}-{\frac{{{3}}}{{{7}}}}-{\frac{{{1}}}{{{3}}}}\)
\(\displaystyle{L}{C}{M}={7}\cdot{3}\cdot{1}\)
\(\displaystyle{L}{C}{M}={21}\)
Adjust Fractions based on the LCM
\(\displaystyle{x}={\frac{{{21}}}{{{21}}}}-{\frac{{{9}}}{{{21}}}}-{\frac{{{7}}}{{{21}}}}\)
\(\displaystyle{x}={\frac{{{21}-{9}-{7}}}{{{21}}}}\)
\(\displaystyle{x}={\frac{{{5}}}{{{21}}}}\)
NOTE: Refresh your page if you can't see any equations.

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