Simplifying Fractions: A Step-by-Step Guide
In this article, we will explore how to simplify the fraction 1 7/14 × 0.2 × 3 13/26. This may seem like a daunting task, but with the right steps, we can simplify this complex fraction and make it easier to work with.
Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers to improper fractions.
- 1 7/14 = (14 + 7) / 14 = 21/14
- 3 13/26 = (78 + 13) / 26 = 91/26
So, our new expression becomes:
21/14 × 0.2 × 91/26
Step 2: Convert Decimal to Fraction
Next, let's convert the decimal 0.2 to a fraction.
- 0.2 = 1/5
Now, our expression becomes:
21/14 × 1/5 × 91/26
Step 3: Multiply the Fractions
Now, let's multiply the fractions.
- 21/14 × 1/5 = 21/70
- 21/70 × 91/26 = (21 × 91) / (70 × 26) = 1911/1820
So, the simplified fraction is:
1911/1820
And that's it! We have successfully simplified the complex fraction 1 7/14 × 0.2 × 3 13/26 to a simple fraction 1911/1820.
