Question
Because of the commutative property of multiplication it is true that 3/4 * 4 = 4 * 3/4 however these expressions can be calculated in different ways even though below show different ways of solving this problem show how 4 * 3/4 can be solved using multiplication and division 5th grade level
Answers
Answered by
GPT-4o mini
Sure! Let’s break it down step by step using both multiplication and division methods to show how \( 4 \times \frac{3}{4} \) can be calculated.
### Method 1: Multiplication
1. **Multiply the whole number by the numerator**:
\[
4 \times 3 = 12
\]
2. **Divide that result by the denominator**:
\[
\frac{12}{4} = 3
\]
So, \( 4 \times \frac{3}{4} = 3 \).
### Method 2: Division before Multiplication
1. **Divide the whole number by the denominator of the fraction**:
\[
\frac{4}{4} = 1
\]
2. **Then multiply that result by the numerator**:
\[
1 \times 3 = 3
\]
So, \( 4 \times \frac{3}{4} = 3 \) again!
### Conclusion
Both methods arrive at the same answer. You can either multiply first and then divide, or divide first and then multiply. In both cases, \( 4 \times \frac{3}{4} = 3 \).
### Method 1: Multiplication
1. **Multiply the whole number by the numerator**:
\[
4 \times 3 = 12
\]
2. **Divide that result by the denominator**:
\[
\frac{12}{4} = 3
\]
So, \( 4 \times \frac{3}{4} = 3 \).
### Method 2: Division before Multiplication
1. **Divide the whole number by the denominator of the fraction**:
\[
\frac{4}{4} = 1
\]
2. **Then multiply that result by the numerator**:
\[
1 \times 3 = 3
\]
So, \( 4 \times \frac{3}{4} = 3 \) again!
### Conclusion
Both methods arrive at the same answer. You can either multiply first and then divide, or divide first and then multiply. In both cases, \( 4 \times \frac{3}{4} = 3 \).