Simplifying the Fraction: 2/3 x 9/14
To simplify the fraction 2/3 x 9/14, we need to follow the order of operations (PEMDAS) and multiply the numerators and denominators separately.
Multiplying the Numerators
The numerators are the numbers on top of the fractions. In this case, we have:
2 x 9 = 18
Multiplying the Denominators
The denominators are the numbers at the bottom of the fractions. In this case, we have:
3 x 14 = 42
Writing the New Fraction
Now that we have multiplied the numerators and denominators, we can write the new fraction:
18/42
Simplifying the Fraction
We can simplify the fraction 18/42 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 18 and 42 is 6. Therefore, we can simplify the fraction as follows:
18 ÷ 6 = 3 42 ÷ 6 = 7
So, the simplified fraction is:
3/7
And that's the final answer!
