Dividing Fractions: 1 1/2 ÷ 4/9
Dividing fractions can seem tricky, but it's actually quite straightforward once you understand the process. Here's how to divide 1 1/2 by 4/9 and express the answer as a fraction:
Step 1: Convert the mixed number to a fraction
- 1 1/2 is equivalent to (1 * 2 + 1) / 2 = 3/2
Step 2: Invert the second fraction (the divisor)
- The reciprocal of 4/9 is 9/4.
Step 3: Multiply the first fraction by the reciprocal of the second fraction
- (3/2) * (9/4) = (3 * 9) / (2 * 4) = 27/8
Step 4: Simplify the answer (if possible)
- The fraction 27/8 is already in its simplest form.
Therefore, 1 1/2 divided by 4/9 is equal to 27/8.