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The problem states that a cafe started the day with \( \frac{15}{16} \) of a crate of milk and used \( \frac{1}{5} \) of this amount during the day. We need to find what fraction of the crate was left at the end of the day, expressed in its simplest form.

### Step 1: Find the amount of milk used
The amount of milk used is \( \frac{1}{5} \) of the starting amount, which is \( \frac{15}{16} \). This means we need to multiply these two fractions:

\[
\text{Amount used} = \frac{1}{5} \times \frac{15}{16} = \frac{1 \times 15}{5 \times 16} = \frac{15}{80}
\]

### Step 2: Subtract the used amount from the initial amount
Now, subtract the amount of milk used from the initial amount:

\[
\text{Amount left} = \frac{15}{16} - \frac{15}{80}
\]

To subtract these fractions, we need a common denominator. The least common denominator (LCD) of 16 and 80 is 80. So, convert \( \frac{15}{16} \) to have a denominator of 80:

\[
\frac{15}{16} = \frac{15 \times 5}{16 \times 5} = \frac{75}{80}
\]

Now, subtract the fractions:

\[
\frac{75}{80} - \frac{15}{80} = \frac{75 - 15}{80} = \frac{60}{80}
\]

### Step 3: Simplify the fraction
Simplify \( \frac{60}{80} \) by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 20:

\[
\frac{60}{80} = \frac{60 \div 20}{80 \div 20} = \frac{3}{4}
\]

### Final Answer:
The fraction of the crate of milk left at the end of the day is \( \frac{3}{4} \).

Would you like more details or have any questions?

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Here are five questions related to this problem:
1. How do you multiply two fractions?
2. What is the least common denominator (LCD), and why is it important for subtracting fractions?
3. How do you find the greatest common divisor (GCD) of two numbers?
4. What is the difference between simplifying a fraction and finding its LCD?
5. Can you explain how to check if a fraction is in its simplest form?

**Tip**: Always simplify your fractions at the end of the problem to ensure your answer is in its simplest form.

A cafe had 15/16 of a crate of milk at the start of the day. During the day, the cafe used 1/5 of this milk. What fraction of the crate of milk was left at the end of the day? Give your answer in its simplest form.

Solve the fraction problem to find out how much of the crate of milk is left at the end of the day. The cafe started with 15/16 of the crate and used 1/5 of it. Learn to multiply, subtract, and simplify fractions in this step-by-step solution, suitable for Grades 5-7.

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