Simplifying Fractions: 1/12 x 6
When dealing with fractions, it's essential to understand how to multiply and simplify them. In this article, we'll explore how to multiply 1/12 by 6 and simplify the resulting fraction.
The Multiplication
To multiply 1/12 by 6, we follow the standard rule of multiplying fractions:
(1/12) × 6 = ?
To do this, we'll multiply the numerators (1 and 6) and denominators (12 and 1) separately:
(1 × 6) / (12 × 1) = 6/12
Simplifying the Fraction
Now that we have the result of the multiplication, let's simplify the fraction:
6/12 = ?
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 6 and 12 is 6.
6 ÷ 6 = 1 12 ÷ 6 = 2
So, the simplified fraction is:
1/2
Conclusion
In conclusion, multiplying 1/12 by 6 gives us 6/12, which simplifies to 1/2. This exercise demonstrates the importance of understanding fraction multiplication and simplification rules to obtain the simplest form of a fraction.
