3 3/4 Divided by 1 1/8 as a Fraction
To divide 3 3/4 by 1 1/8, we need to convert both mixed numbers into improper fractions and then perform the division.
Converting Mixed Numbers to Improper Fractions
First, let's convert 3 3/4 into an improper fraction:
3 3/4 = (3 × 4) + 3 / 4 = 15 / 4
Next, let's convert 1 1/8 into an improper fraction:
1 1/8 = (1 × 8) + 1 / 8 = 9 / 8
Now that we have both mixed numbers converted into improper fractions, we can proceed with the division.
Performing the Division
To divide 15/4 by 9/8, we can invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
15/4 ÷ 9/8 = 15/4 × 8/9
Multiplying the numerators and denominators, we get:
= (15 × 8) / (4 × 9) = 120 / 36
Simplifying the fraction, we get:
= 10 / 3
So, 3 3/4 divided by 1 1/8 equals 10/3.
You can convert this improper fraction back into a mixed number if you prefer:
10/3 = 3 1/3
There you have it!
