1 1/2 Divided by 6 3/4 as a Fraction
In this article, we will explore the calculation of 1 1/2 divided by 6 3/4 as a fraction. This problem involves mixed numbers, which can be a bit tricky to work with. But don't worry, we'll break it down step by step.
Converting Mixed Numbers to Improper Fractions
Before we dive into the division problem, let's convert both mixed numbers to improper fractions.
1 1/2 as an Improper Fraction
1 1/2 = 3/2
6 3/4 as an Improper Fraction
6 3/4 = 27/4
Dividing Fractions
Now that we have both mixed numbers converted to improper fractions, we can perform the division.
(3/2) ÷ (27/4) = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
= (3/2) × (4/27)
= (3 × 4) / (2 × 27)
= 12/54
Simplifying the Fraction
The resulting fraction 12/54 can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD), which is 6.
= 12 ÷ 6 / 54 ÷ 6
= 2/9
Final Answer
Therefore, 1 1/2 divided by 6 3/4 as a fraction is equal to 2/9.
