 # 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?

• Questions are typically answered in as fast as 30 minutes

### Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself. Michele Tipton

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.