Multiplying Fractions: 1 1/2 x 3/4
Multiplying fractions can seem daunting, especially when dealing with mixed numbers. However, with the right steps, it's a straightforward process. Let's break down how to multiply 1 1/2 x 3/4.
Step 1: Convert Mixed Number to a Fraction
First, we need to convert the mixed number 1 1/2 into an improper fraction. To do this, we multiply the whole number (1) by the denominator of the fraction (2) and then add the numerator (1). This gives us:
(1 x 2) + 1 = 3
We keep the same denominator, resulting in the improper fraction 3/2.
Step 2: Multiply the Fractions
Now we have: 3/2 x 3/4. To multiply fractions, we simply multiply the numerators and the denominators:
(3 x 3) / (2 x 4) = 9/8
Step 3: Simplify the Result
The result, 9/8, is an improper fraction. We can convert it back to a mixed number:
9 divided by 8 equals 1 with a remainder of 1. Therefore, the simplified result is 1 1/8.
Conclusion
Therefore, 1 1/2 x 3/4 equals 1 1/8. By following these steps, you can confidently multiply fractions, even when dealing with mixed numbers.