5 3/4 divided by 1 1/2 as a Fraction
In this article, we will learn how to divide a mixed number by another mixed number and express the result as a fraction.
The Problem
The problem is to divide 5 3/4 by 1 1/2 and express the result as a fraction.
Converting Mixed Numbers to Improper Fractions
Before we can divide the two numbers, we need to convert them to improper fractions.
- 5 3/4 = (5 × 4) + 3 / 4 = 23/4
- 1 1/2 = (1 × 2) + 1 / 2 = 3/2
Dividing the Fractions
Now that we have converted the mixed numbers to improper fractions, we can divide them.
- 23/4 ÷ 3/2 = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
- 23/4 × 2/3 = ?
Now, we can multiply the numerators and denominators separately.
- Numerator: 23 × 2 = 46
- Denominator: 4 × 3 = 12
The Result
The result of dividing 5 3/4 by 1 1/2 is:
- 46/12
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
- 46 ÷ 2 = 23
- 12 ÷ 2 = 6
So, the final result is:
- 23/6
Therefore, 5 3/4 divided by 1 1/2 is equal to 23/6 as a fraction.
