17/51 simplest form
19/38 simplest form
10/32 simplest form
show work pweeeese T3T
Shouldn't you be trying these first? The first one is divisible by 17.
6/10
To simplify the given fractions, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both of them by that value. Here's how to simplify each fraction step by step:
1) To simplify 17/51:
The GCD of 17 and 51 is 1 since there is no common divisor other than 1. Therefore, the fraction is already in its simplest form.
2) To simplify 19/38:
The GCD of 19 and 38 is also 1 since there are no common factors other than 1. Hence, the fraction is already in its simplest form.
3) To simplify 10/32:
Let's find the GCD of 10 and 32:
- The factors of 10 are 1, 2, 5, and 10.
- The factors of 32 are 1, 2, 4, 8, 16, and 32.
The largest common factor between 10 and 32 is 2. Now, divide both the numerator and denominator by 2:
10 ÷ 2 = 5
32 ÷ 2 = 16
Therefore, 10/32 simplifies to 5/16.
Final simplified fractions:
17/51 is in simplest form.
19/38 is in simplest form.
10/32 simplifies to 5/16.
To find the simplest form of a fraction, we need to simplify the numerator and denominator by dividing both of them by their greatest common divisor (GCD).
Let's start with the fraction 17/51:
1) Find the GCD of 17 and 51. The factors of 17 are 1 and 17, and the factors of 51 are 1, 3, 17, and 51. The only common factor is 1 since 17 is a prime number and has no factors other than 1 and itself.
2) Divide both the numerator and denominator by the GCD, which is 1 in this case: 17/1 ÷ 51/1 = 17/51
So, the fraction 17/51 is already in its simplest form.
Now, let's move on to the fraction 19/38:
1) Find the GCD of 19 and 38. The factors of 19 are 1 and 19, and the factors of 38 are 1, 2, 19, and 38. The only common factor is again 1.
2) Divide both the numerator and denominator by the GCD, which is 1: 19/1 ÷ 38/1 = 19/38
Therefore, the fraction 19/38 is already in its simplest form as well.
Lastly, let's simplify the fraction 10/32:
1) Find the GCD of 10 and 32. The factors of 10 are 1, 2, 5, and 10, and the factors of 32 are 1, 2, 4, 8, 16, and 32. The highest common factor is 2.
2) Divide both the numerator and denominator by the GCD, which is 2: 10/2 ÷ 32/2 = 5/16
Hence, the simplest form of the fraction 10/32 is 5/16.
I hope this helps!