Multiplying Fractions: Finding 1 3/4 Times 2/3
Let's break down how to multiply the mixed number 1 3/4 by the fraction 2/3.
Step 1: Convert the mixed number to a fraction
First, we need to convert the mixed number 1 3/4 to an improper fraction. To do this:
- Multiply the whole number (1) by the denominator of the fraction (4): 1 * 4 = 4
- Add the numerator of the fraction (3): 4 + 3 = 7
- Keep the same denominator: 7/4
Now we have the problem: 7/4 * 2/3
Step 2: Multiply the numerators and the denominators
To multiply fractions, we simply multiply the numerators (the top numbers) and the denominators (the bottom numbers):
- Numerator: 7 * 2 = 14
- Denominator: 4 * 3 = 12
This gives us the fraction 14/12.
Step 3: Simplify the fraction (if possible)
The fraction 14/12 can be simplified. Both the numerator and denominator are divisible by 2:
- 14 / 2 = 7
- 12 / 2 = 6
Therefore, the simplified answer is 7/6.
Answer
1 3/4 times 2/3 is equal to 7/6.