Dividing Mixed Numbers: 4 1/6 divided by 1 1/8 in Fraction Form
In this article, we will learn how to divide mixed numbers in fraction form. Specifically, we will find the result of dividing 4 1/6 by 1 1/8.
Converting Mixed Numbers to Improper Fractions
Before we dive into the division process, we need to convert both mixed numbers to improper fractions.
4 1/6 = ?
To convert 4 1/6 to an improper fraction, we multiply the whole number part (4) by the denominator (6) and then add the numerator (1):
4 × 6 = 24 24 + 1 = 25
So, 4 1/6 = 25/6
1 1/8 = ?
Similarly, to convert 1 1/8 to an improper fraction, we multiply the whole number part (1) by the denominator (8) and then add the numerator (1):
1 × 8 = 8 8 + 1 = 9
So, 1 1/8 = 9/8
Dividing Fractions
Now that we have both mixed numbers converted to improper fractions, we can divide them.
25/6 ÷ 9/8 = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
9/8 becomes 8/9 Now, multiply: (25/6) × (8/9) = ?
To multiply fractions, we multiply the numerators and denominators separately:
(25 × 8) / (6 × 9) = ? 200 / 54 = ?
So, 25/6 ÷ 9/8 = 200/54
Simplifying the Result
We can simplify the result by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 200 and 54 is 2.
200 ÷ 2 = 100 54 ÷ 2 = 27
So, 200/54 = 100/27
Therefore, 4 1/6 divided by 1 1/8 in fraction form is 100/27.
