35% as a fraction, reduce as needed.
35% can be written as the fraction 35/100. To reduce it, we can divide the numerator and the denominator by their greatest common divisor, which is 5. Hence, the reduced fraction is 7/20.
When reducing the fraction, what should you find first?
When reducing a fraction, you should first find the greatest common divisor (GCD) of the numerator and denominator.
So would it be the last common multiple or the greatest common factor or half of each value
Apologies for the confusion in my previous response. When reducing a fraction, you should find the greatest common factor (GCF) of the numerator and denominator, not the least common multiple (LCM). The GCF is the largest number that divides evenly into both the numerator and denominator.
To find the GCF, you can list the factors of both the numerator and denominator and determine the largest number that they have in common. In the case of 35/100, the factors of 35 are 1, 5, 7, and 35, and the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The largest factor they have in common is 5, so the GCF is 5.
Dividing the numerator and denominator by the GCF of 5 gives us the reduced fraction: 7/20.
To write 35% as a fraction, we can express it as 35/100. To reduce this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 5.
So, 35/100 simplifies to 7/20.
To convert a percentage to a fraction, you need to divide the percentage value by 100 and simplify the result if necessary.
Now, let's convert 35% into a fraction:
Step 1: Divide the percentage value by 100:
35 ÷ 100 = 0.35
Step 2: To convert a decimal into a fraction, we count the number of decimal places and use that as the denominator. Since "0.35" has two decimal places, the denominator will be 100.
Step 3: So, the fraction equivalent of 35% is 35/100.
Now, let's see if we can simplify this fraction further:
Step 1: Find the greatest common divisor (GCD) of the numerator (35) and the denominator (100):
The factors of 35 are 1, 5, 7, and 35.
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
The GCD for 35 and 100 is 5.
Step 2: Divide both the numerator and denominator by the GCD:
35 ÷ 5 = 7
100 ÷ 5 = 20
So, the fraction 35/100 simplifies to 7/20.
Therefore, 35% as a simplified fraction is 7/20.