Mrs. Phua bought 2 bags of flour that weighted 2, 1/2 kg each. She used 1, 5/6 kg to bake some cakes and 3/4 of the remainder to bake cookies. How much flour did she use to bake the cookies? ( Give the answer in simplest form

Let's break down the problem step by step.

### Step 1: Total weight of flour Mrs. Phua bought
She bought 2 bags of flour, each weighing \(2 \frac{1}{2}\) kg.

Convert \(2 \frac{1}{2}\) into an improper fraction:
\[
2 \frac{1}{2} = \frac{5}{2} \text{ kg}
\]

So, the total weight of flour is:
\[
2 \times \frac{5}{2} = 5 \text{ kg}
\]

### Step 2: Flour used to bake cakes
Mrs. Phua used \(1 \frac{5}{6}\) kg of flour to bake cakes.

### Step 3: Flour remaining after baking cakes
The remaining flour is:
\[
5 - 1 \frac{5}{6} \text{ kg}
\]

Convert \(1 \frac{5}{6}\) into an improper fraction:
\[
1 \frac{5}{6} = \frac{11}{6} \text{ kg}
\]

So, the remaining flour is:
\[
5 - \frac{11}{6} = \frac{30}{6} - \frac{11}{6} = \frac{19}{6} \text{ kg}
\]

### Step 4: Flour used to bake cookies
She used \(\frac{3}{4}\) of the remaining flour to bake cookies:
\[
\text{Flour used for cookies} = \frac{3}{4} \times \frac{19}{6} = \frac{57}{24}
\]

### Step 5: Simplify the fraction
\(\frac{57}{24}\) can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:
\[
\frac{57 \div 3}{24 \div 3} = \frac{19}{8}
\]

Thus, the amount of flour she used to bake the cookies is \(\frac{19}{8}\) kg, which can also be written as \(2 \frac{3}{8}\) kg.

### Final Answer:
Mrs. Phua used \(\frac{19}{8}\) kg, or \(2 \frac{3}{8}\) kg of flour to bake the cookies.

Would you like more details on any of the steps? Here are some related questions:

1. How do you convert a mixed number to an improper fraction?
2. What is the greatest common divisor (GCD), and how is it used to simplify fractions?
3. How do you multiply fractions?
4. How can you convert an improper fraction back into a mixed number?
5. What are some examples of real-life situations where fractions are used?

**Tip:** Always simplify fractions at the final step to ensure your answer is in its simplest form.

Learn how Mrs. Phua solved her flour baking problem step-by-step using fractions. Understand how to convert mixed numbers to improper fractions, subtract fractions, and multiply fractions to find out how much flour she used to bake cookies. Suitable for Grades 5-6.

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