20/60=1/3?
15/60=1/4?
27/81=1/3?
28/36=7/9
23/46=1/2?
12/27=4/9?
75/100=3/4?
10/25=2/5?
20/28=5/7?
Are you just asking how to simplify them into those fractions? For the first one, divide the numerator and denominator by 20. Look for the greatest common denominator and divide the top and bottom by it. The second one has a gcd of 15, so divide both top and bottom by 15 to get 1/4
No after the = sign That's my answer. All the fractions on the left are the ones I have to simplify.
I just want to make sure I did it right and didn't make careless mistakes :]
All of your answers are correct.
:-)
To check whether the given fractions are equivalent, we need to simplify each fraction and compare them.
For the first fraction, 20/60:
Step 1: Find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 20 and 60 is 20.
Step 2: Divide both the numerator and denominator by the GCD. Dividing 20 by 20 gives 1, and dividing 60 by 20 gives 3.
So, 20/60 simplifies to 1/3.
Now let's do the same process for the remaining fractions:
For 15/60:
Step 1: GCD of 15 and 60 is 15.
Step 2: Divide 15 by 15, and divide 60 by 15.
Therefore, 15/60 simplifies to 1/4.
For 27/81:
Step 1: GCD of 27 and 81 is 27.
Step 2: Divide 27 by 27, and divide 81 by 27.
Therefore, 27/81 simplifies to 1/3.
For 28/36:
Step 1: GCD of 28 and 36 is 4.
Step 2: Divide 28 by 4, and divide 36 by 4.
Therefore, 28/36 simplifies to 7/9.
For 23/46:
Step 1: GCD of 23 and 46 is 23.
Step 2: Divide 23 by 23, and divide 46 by 23.
Therefore, 23/46 simplifies to 1/2.
For 12/27:
Step 1: GCD of 12 and 27 is 3.
Step 2: Divide 12 by 3, and divide 27 by 3.
Therefore, 12/27 simplifies to 4/9.
For 75/100:
Step 1: GCD of 75 and 100 is 25.
Step 2: Divide 75 by 25, and divide 100 by 25.
Therefore, 75/100 simplifies to 3/4.
For 10/25:
Step 1: GCD of 10 and 25 is 5.
Step 2: Divide 10 by 5, and divide 25 by 5.
Therefore, 10/25 simplifies to 2/5.
For 20/28:
Step 1: GCD of 20 and 28 is 4.
Step 2: Divide 20 by 4, and divide 28 by 4.
Therefore, 20/28 simplifies to 5/7.
So, here is the summary of the simplified fractions:
20/60 = 1/3
15/60 = 1/4
27/81 = 1/3
28/36 = 7/9
23/46 = 1/2
12/27 = 4/9
75/100 = 3/4
10/25 = 2/5
20/28 = 5/7