Simplifying Fractions: 1 1/6 x 3 4/5 as a Fraction
When working with fractions, it's essential to know how to multiply and simplify them. In this article, we'll explore how to multiply 1 1/6 and 3 4/5 as a fraction.
Breaking Down the Problem
Let's break down the problem into smaller parts:
- 1 1/6 can be written as an improper fraction: 7/6
- 3 4/5 can be written as an improper fraction: 19/5
Multiplying Fractions
To multiply fractions, we need to multiply the numerators (numbers on top) and multiply the denominators (numbers at the bottom), like this:
(7/6) × (19/5)
Multiplying Numerators
Multiply the numerators (numbers on top):
- 7 × 19 = 133
Multiplying Denominators
Multiply the denominators (numbers at the bottom):
- 6 × 5 = 30
Result
Now, combine the results:
133/30
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 133 and 30 is 1, so the fraction is already in its simplest form.
Final Answer
The result of multiplying 1 1/6 and 3 4/5 as a fraction is:
133/30
I hope this helps! Let me know if you have any questions or need further assistance.
