Understanding the Fraction 63/100
Fractions are a way to represent part of a whole. The fraction 63/100 represents 63 equal parts out of a total of 100. In this article, we will simplify the fraction 63/100 in three easy steps.
Step 1: Find the Greatest Common Divisor (GCD)
The greatest common divisor (GCD) is the largest number that divides both the numerator (63) and the denominator (100) without leaving a remainder. To find the GCD, we can list the factors of both numbers:
Factors of 63: 1, 3, 7, 9, 21, 63 Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
The greatest common divisor of 63 and 100 is 1.
Simplifying the Fraction
Since the GCD is 1, we cannot simplify the fraction 63/100 by dividing both the numerator and the denominator by their GCD. However, we can express the fraction as a decimal or a percentage.
Step 2: Convert the Fraction to a Decimal
To convert the fraction to a decimal, we divide the numerator by the denominator:
63 ÷ 100 = 0.63
Expressing the Fraction as a Percentage
To express the fraction as a percentage, we multiply the decimal by 100:
0.63 x 100 = 63%
Step 3: Write the Simplified Fraction
The simplified fraction 63/100 can be expressed as:
63/100 = 0.63 = 63%
In conclusion, simplifying the fraction 63/100 involves finding the greatest common divisor, converting the fraction to a decimal, and expressing it as a percentage. By following these easy steps, you can simplify any fraction and express it in different forms.
Now that you've learned how to simplify the fraction 63/100, try practicing with other fractions to become more comfortable with the process. Don't hesitate to ask for help if you have any questions or need further clarification.
What is the greatest common divisor (GCD) of two numbers?
+The greatest common divisor (GCD) is the largest number that divides both numbers without leaving a remainder.
How do I convert a fraction to a decimal?
+To convert a fraction to a decimal, divide the numerator by the denominator.
How do I express a fraction as a percentage?
+To express a fraction as a percentage, multiply the decimal by 100.