4 1/6 divided by 8/9 as a Fraction
To divide a mixed number by a fraction, we need to follow a few steps.
Step 1: Convert the Mixed Number to an Improper Fraction
First, let's convert the mixed number 4 1/6 to an improper fraction.
4 1/6 = (4 × 6) + 1 / 6 = 25/6
Step 2: Divide the Improper Fraction by the Fraction
Now, we can divide the improper fraction 25/6 by the fraction 8/9.
25/6 ÷ 8/9 = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
25/6 × 9/8 = ?
Step 3: Multiply the Fractions
Now, let's multiply the fractions.
(25 × 9) / (6 × 8) = 225 / 48
Step 4: Simplify the Fraction (if possible)
The resulting fraction is already in its simplest form.
Therefore, 4 1/6 divided by 8/9 as a fraction is:
225/48
I hope this helps!
