How do i write the fraction in lowest terms?
12 over 16
12/16
Since 4 goes into both 12 and 16 evenly, you need to divide by 4.
12/16 = 3/4
Okay, I think i get it. Is this correct?
84 over 132 in lowest terms
84/132
Since 4 goes into both 84 and 132 evenly. i divided by 4.
84/132= 21/33
Right! :-)
Remember, though, that you need to find the largest number that goes into both numerator and denominator evenly.
Examples:
10/15 = 2/3 (Divide by 5)
18/36 = 1/2 (Divide by 18)
To write a fraction in lowest terms, you need to find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both the numerator and the denominator by the GCD.
For the fraction 12/16, let's find the GCD of 12 and 16:
To find the GCD, you can use various methods like prime factorization, the Euclidean algorithm, or the division method. Let's use the division method in this case:
1. Start by dividing the larger number (16) by the smaller number (12).
16 ÷ 12 = 1 remainder 4
2. Now, divide the divisor (12) by the remainder (4).
12 ÷ 4 = 3
3. Since there is no remainder left, the divisor (4) is the GCD of 12 and 16.
Now, divide both the numerator and denominator of the fraction by the GCD (4):
12 ÷ 4 = 3
16 ÷ 4 = 4
So, the fraction 12/16 in lowest terms is 3/4.