12 1/2 Divided by 2/3 as a Fraction
In this article, we will explore how to divide a mixed number, 12 1/2, by a fraction, 2/3, and express the result as a fraction.
The Problem
12 1/2 ÷ 2/3 = ?
Converting the Mixed Number to an Improper Fraction
Before we can divide, we need to convert the mixed number 12 1/2 to an improper fraction. To do this, we multiply the whole number part (12) by the denominator (2) and add the numerator (1).
12 1/2 = (12 × 2) + 1 = 25/2
So, our problem becomes:
25/2 ÷ 2/3 = ?
Dividing the Fractions
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
25/2 ÷ 2/3 = 25/2 × 3/2
Multiplying the Fractions
Now, we multiply the numerators and denominators separately:
(25 × 3) / (2 × 2) = 75/4
Simplifying the Fraction
The resulting fraction, 75/4, is in its simplest form.
The Answer
Therefore, 12 1/2 divided by 2/3 as a fraction is equal to:
75/4
We hope this step-by-step guide has helped you understand how to divide a mixed number by a fraction and express the result as a fraction.
