3 1/8 Divided by 1 1/2: A Step-by-Step Guide
Dividing mixed numbers can be a bit tricky, but with the right steps, it's definitely manageable. In this article, we'll go through the process of dividing 3 1/8 by 1 1/2.
Converting Mixed Numbers to Improper Fractions
To divide these mixed numbers, we need to convert them to improper fractions first.
3 1/8
To convert 3 1/8 to an improper fraction, we multiply the whole number part (3) by the denominator (8) and then add the numerator (1).
3 × 8 = 24 24 + 1 = 25
So, 3 1/8 = 25/8.
1 1/2
Next, we convert 1 1/2 to an improper fraction.
1 × 2 = 2 2 + 1 = 3
So, 1 1/2 = 3/2.
Dividing the Improper Fractions
Now that we have our improper fractions, we can divide them.
25/8 ÷ 3/2
To divide fractions, we multiply by the reciprocal of the second fraction.
25/8 × 2/3 = 25 × 2 / 8 × 3
Simplifying the Fraction
Now, we simplify the fraction by canceling out any common factors.
25 × 2 = 50 8 × 3 = 24
So, 50/24 is the result of the division.
Simplifying Further
We can simplify the fraction further by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 50 and 24 is 2.
50 ÷ 2 = 25 24 ÷ 2 = 12
So, the final answer is 25/12.
Conclusion
In this article, we successfully divided 3 1/8 by 1 1/2 by converting them to improper fractions, dividing, and simplifying the result. The final answer is 25/12.
