Simplifying Fractions: 5/12 x 3/4 as a Fraction
In this article, we will explore the multiplication of two fractions, 5/12 and 3/4, and simplify the result to its simplest form.
Multiplying Fractions
When multiplying fractions, we need to follow the rule:
a/b × c/d = (a × c) / (b × d)
In our case, we have:
5/12 × 3/4 = ?
Let's plug in the values:
(5 × 3) / (12 × 4)
Calculating the Product
First, let's calculate the numerator (the top part) by multiplying 5 and 3:
5 × 3 = 15
Next, let's calculate the denominator (the bottom part) by multiplying 12 and 4:
12 × 4 = 48
Now, we can write the result as a fraction:
15/48
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of both the numerator and the denominator.
The GCD of 15 and 48 is 3. Therefore, we can divide both the numerator and the denominator by 3:
15 ÷ 3 = 5
48 ÷ 3 = 16
So, the simplified fraction is:
5/16
Conclusion
The result of multiplying 5/12 and 3/4 is 5/16. By following the rule of multiplying fractions and simplifying the result, we can get the simplest form of the fraction.
Remember to always check your calculations and simplify your fractions to get the most accurate results.
