Multiplying Fractions: 1 1/4 x 2/3
Multiplying fractions can seem daunting, but it's actually quite simple. Let's break down how to multiply 1 1/4 x 2/3.
Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed number 1 1/4 into an improper fraction.
- Multiply the whole number (1) by the denominator (4): 1 x 4 = 4
- Add the numerator (1): 4 + 1 = 5
- Keep the same denominator (4): 5/4
Now our problem looks like this: 5/4 x 2/3
Step 2: Multiply the Numerators and Denominators
To multiply fractions, we simply multiply the numerators and the denominators.
- Numerators: 5 x 2 = 10
- Denominators: 4 x 3 = 12
This gives us the fraction 10/12.
Step 3: Simplify (If Possible)
The fraction 10/12 can be simplified by finding the greatest common factor (GCF) of 10 and 12, which is 2. Divide both the numerator and denominator by 2:
- 10 ÷ 2 = 5
- 12 ÷ 2 = 6
Therefore, the simplified answer is 5/6.
Conclusion
So, 1 1/4 x 2/3 is equal to 5/6. Remember to follow these simple steps to multiply any fractions.