simply 12/36
10/80
12/36
Divide the numerator and the denominator by 12.
12/36 = 1/6
What do you think 10/80 is when it's simplified?
ahem. 12/36 = 1/3
Thank you, Steve. You saved me again! :-)
To simplify 12/36, you need to find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 12 and 36 is 12.
To find the GCD, you can either factorize the numbers or use the division method.
The factorization method involves finding the prime factors of each number:
12 = 2 * 2 * 3
36 = 2 * 2 * 3 * 3
Next, you identify the common prime factors: 2 * 2 * 3.
Finally, you multiply the common prime factors to get the GCD: GCD(12, 36) = 2 * 2 * 3 = 12.
Dividing both the numerator and denominator by the GCD, we get:
12/36 = 12 ÷ 12 / 36 ÷ 12 = 1/3.
Therefore, 12/36 simplifies to 1/3.
Now let's simplify 10/80.
To simplify 10/80, we can find the GCD of 10 and 80.
The prime factors are:
10 = 2 * 5
80 = 2 * 2 * 2 * 2 * 5
The common prime factors are 2 and 5.
Multiplying the common prime factors, we get the GCD: GCD(10, 80) = 2 * 5 = 10.
Dividing both the numerator and denominator by the GCD, we have:
10/80 = 10 ÷ 10 / 80 ÷ 10 = 1/8.
Therefore, 10/80 simplifies to 1/8.