Simplifying the Fraction: 1/2 x 3/9
When multiplying fractions, we need to follow the rule of multiplying the numerators (numbers on top) and multiplying the denominators (numbers at the bottom). Let's break down the problem: 1/2 x 3/9.
Multiply the Numerators
The numerators are the numbers on top of the fractions. In this case, we have 1 and 3. Multiply them together:
1 x 3 = 3
Multiply the Denominators
The denominators are the numbers at the bottom of the fractions. In this case, we have 2 and 9. Multiply them together:
2 x 9 = 18
Simplify the Fraction
Now that we have multiplied the numerators and denominators, we can write the resulting fraction:
3/18
To simplify this fraction, we need to find the greatest common divisor (GCD) of 3 and 18. The GCD is 3, so we can divide both the numerator and denominator by 3:
3 ÷ 3 = 1 18 ÷ 3 = 6
The simplified fraction is:
1/6
Therefore, 1/2 x 3/9 is equal to 1/6.