Simplify 52 As A Fraction In 1 Easy Step

Quick Links :

The concept of simplifying a fraction like 52/100, which represents the percentage or proportion 52%, is quite straightforward.

First, it's essential to understand that percentages are fractions of 100. So, when we say 52%, we're referring to 52 parts out of a total of 100 parts.

Simplifying 52%

To simplify 52%, we need to express it in its most basic form as a fraction. Here’s the step-by-step guide:

Step 1: Express 52% as a Fraction

Express 52% as a fraction by writing it as 52/100.

52% = 52/100

Now, we need to simplify this fraction to its simplest form.

What Does It Mean to Simplify a Fraction?

Simplifying a fraction means expressing it in its most basic form by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 52 and 100 is 4.

Step 2: Divide the Numerator and Denominator by 4

Divide both 52 and 100 by 4:

52 ÷ 4 = 13 100 ÷ 4 = 25

So, the simplified fraction is:

52/100 = 13/25

What Is the Simplified Fraction of 52%?

Therefore, the simplified fraction of 52% is 13/25.

How to Express 13/25 as a Decimal or Percentage

To express 13/25 as a decimal, divide the numerator by the denominator:

13 ÷ 25 = 0.52

To express 13/25 as a percentage, multiply the decimal by 100:

0.52 × 100 = 52%

Key Takeaways

• Simplifying a fraction means expressing it in its most basic form by dividing both the numerator and the denominator by their greatest common divisor (GCD).
• The simplified fraction of 52% is 13/25.
• To express 13/25 as a decimal, divide the numerator by the denominator (13 ÷ 25 = 0.52).
• To express 13/25 as a percentage, multiply the decimal by 100 (0.52 × 100 = 52%).

Now, go ahead and try simplifying other percentages to fractions!