Simplifying Fractions: A Guide to 1 3/10 × 18 in Simplest Form
When it comes to fractions, simplifying them is an essential skill to master. In this article, we'll walk you through the process of simplifying the fraction 1 3/10 × 18 to its simplest form.
What is 1 3/10 × 18?
To start, let's break down the given fraction: 1 3/10. This mixed fraction can be written as:
1 3/10 = 13/10
Now, we're asked to multiply this fraction by 18. To do this, we'll follow the rule of multiplying fractions:
(13/10) × 18 = ?
Step 1: Multiply the numerators (numbers on top)
Multiply the numerators (numbers on top):
13 × 18 = 234
Step 2: Multiply the denominators (numbers on bottom)
Multiply the denominators (numbers on bottom):
10 × 1 = 10
Step 3: Write the product as a fraction
Now, write the product as a fraction:
234/10
Simplifying the Fraction
To simplify this fraction, we need to find the greatest common divisor (GCD) of 234 and 10. The GCD is 2. Divide both the numerator and the denominator by the GCD:
234 ÷ 2 = 117 10 ÷ 2 = 5
So, the simplified fraction is:
117/5
And that's the answer! The result of 1 3/10 × 18 in simplest form is 117/5.
Conclusion
Simplifying fractions might seem intimidating at first, but with practice, you'll become a pro! Remember to follow the steps: multiply the numerators, multiply the denominators, and simplify the fraction by finding the greatest common divisor. With this guide, you're ready to tackle more fraction multiplication problems.
