David bought $$ \frac{3}{4} \mathrm{~kg} $$ of flour. He used $$ \frac{7}{15} $$ of it. How many kilograms of flour had he left? Give your answer as a fraction in its simplest form.

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To determine how much flour David has left, let's follow these steps:

1. **Total Flour Purchased:**
   $$
   \frac{3}{4} \text{ kg}
   $$

2. **Flour Used:**
   David used $$\frac{7}{15}$$ of the total flour.
   $$
   \text{Used} = \frac{7}{15} \times \frac{3}{4} = \frac{21}{60} = \frac{7}{20} \text{ kg}
   $$

3. **Flour Remaining:**
   Subtract the used flour from the total flour.
   $$
   \text{Remaining} = \frac{3}{4} - \frac{7}{20}
   $$
   
   To subtract these fractions, convert $$\frac{3}{4}$$ to a fraction with a denominator of 20:
   $$
   \frac{3}{4} = \frac{15}{20}
   $$
   
   Now subtract:
   $$
   \frac{15}{20} - \frac{7}{20} = \frac{8}{20}
   $$
   
   Simplify the fraction by dividing the numerator and the denominator by 4:
   $$
   \frac{8}{20} = \frac{2}{5}
   $$

**Answer:** David has $$\frac{2}{5}$$ kilograms of flour left.
David has $$\frac{2}{5}$$ kilograms of flour left.

David bought of flour. He used of it. How many kilograms of flour had
he left?
Give your answer as a fraction in its simplest form.

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David bought of flour. He used of it. How many kilograms of flour had he left? Give your answer as a fraction in its simplest form.