Simplifying Fractions: 12/15 x 3/4
When dealing with fractions, it's essential to understand how to multiply and simplify them. In this article, we'll explore how to multiply 12/15 and 3/4 as fractions.
The Multiplication Process
To multiply two fractions, we need to follow these steps:
- Multiply the numerators: Multiply the numbers on top of each fraction.
- Multiply the denominators: Multiply the numbers on the bottom of each fraction.
- Write the product as a fraction: Write the product of the numerators over the product of the denominators.
Let's apply these steps to our problem:
12/15 x 3/4
Multiply the numerators: 12 × 3 = 36 Multiply the denominators: 15 × 4 = 60 Write the product as a fraction: 36/60
Simplifying the Fraction
Now, we need to simplify the resulting fraction. To do this, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 36 and 60 is 12. So, we can divide both numbers by 12:
36 ÷ 12 = 3 60 ÷ 12 = 5
The simplified fraction is:
3/5
The Answer
The result of multiplying 12/15 and 3/4 as fractions is 3/5.
Conclusion
In this article, we've learned how to multiply two fractions and simplify the resulting product. By following the steps outlined above, you can confidently multiply fractions and simplify the answers.
