1 1/2 divided by 2/3 in fraction form
To divide mixed numbers, we need to follow a few steps. In this case, we want to divide 1 1/2 by 2/3. Let's break it down step by step.
Step 1: Convert the mixed number to an improper fraction
1 1/2 can be written as an improper fraction by multiplying the whole number part (1) by the denominator (2) and then adding the numerator (1):
(1 × 2) + 1 = 3
So, 1 1/2 becomes 3/2.
Step 2: Write the division problem as a fraction
Now, divide 3/2 by 2/3:
³/² ÷ ²/³
Step 3: Invert and multiply
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
³/² × ³/²
Step 4: Simplify the result
Now, multiply the numerators and denominators separately:
(3 × 3) / (2 × 2) = 9/4
And that's the result! 1 1/2 divided by 2/3 in fraction form is 9/4.
