Division of Fractions: 1 1/4 Divided by 5/6
In this article, we will explore the division of fractions, specifically solving the problem of 1 1/4 divided by 5/6 in fraction form.
Converting Mixed Numbers to Improper Fractions
Before we dive into the division problem, let's convert the mixed number 1 1/4 to an improper fraction.
1 1/4 = 5/4
The Division Problem
Now, let's write the division problem as a fraction:
(5/4) ÷ (5/6)
Inverting the Second Fraction and Multiplying
To divide fractions, we invert the second fraction (i.e., flip it) and then multiply:
(5/4) × (6/5)
Simplifying the Result
To simplify the result, we can cancel out any common factors between the numerator and denominator:
(5 × 6) / (4 × 5) = 30/20
Simplifying Further
We can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 10:
30 ÷ 10 = 3 20 ÷ 10 = 2
The Final Answer
So, 1 1/4 divided by 5/6 in fraction form is:
3/2
