Question

A bottle contains 1 litre of milk. Sam drank 200 mL and Ben drank 1/3 of a litre.
What fraction of the bottle is left?

Answer 1

To determine the fraction of the bottle that is left after Sam and Ben drank some milk, we can follow these steps:

1. **Total initial volume of milk**: 1 litre (which is equal to 1000 mL)

2. **Milk drunk by Sam**: 200 mL

3. **Milk drunk by Ben**: 1/3 of a litre. Since 1 litre = 1000 mL, we calculate:
\[
\frac{1}{3} \text{ litre} = \frac{1000 \text{ mL}}{3} \approx 333.33 \text{ mL}
\]

4. **Total milk consumed**: Add the amounts drunk by Sam and Ben:
\[
200 \text{ mL (Sam)} + \frac{1000 \text{ mL}}{3} \text{ (Ben)} = 200 + 333.33 = 533.33 \text{ mL}
\]

5. **Remaining milk in the bottle**: Subtract the total consumed from the initial amount:
\[
1000 \text{ mL} - 533.33 \text{ mL} = 466.67 \text{ mL}
\]

6. **Fraction of the bottle left**: To find the fraction of the total amount that is left, divide the remaining volume by the initial volume:
\[
\frac{466.67 \text{ mL}}{1000 \text{ mL}} = \frac{466.67}{1000}
\]

To express this fraction in simpler terms, we notice that \(466.67 \text{ mL}\) is approximately equal to \(466.67/1000\), which can be simplified as:

\[
\frac{466.67}{1000} = \frac{1400}{3000} \approx \frac{140}{300} \approx \frac{14}{30} = \frac{7}{15}
\]

Thus, the fraction of the bottle that is left is approximately \( \frac{7}{15} \).

So the final answer is:

\[
\frac{466.67}{1000} \text{ or approximately } \frac{7}{15}.
\]