Simplify 52/400 to Lowest Terms
52/400 simplified to its lowest terms is 13/100 (or 0.13 in decimal). See how to reduce 52/400 using Greatest Common Divisor (GCD = 4).
Exact Answer
52/400 = 13/100
Simplified Fraction
13/100
Mixed Number
Proper (13/100)
Decimal Value
0.13
Percentage
13%
Step-by-Step Solution: 52/400 = 13/100
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 52:
• Factors of 400:
• Factors of 52:
1, 2, 4, 13, 26, 52• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD(52, 400) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (52) and denominator (400) by 4.
52 ÷ 4/400 ÷ 4 = 13/100
Visual Representation
The diagram below illustrates Simplify 52/400 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/100 |
| Mixed Number Form | 13/100 |
| Decimal Form | 0.13 |
| Percentage | 13% |
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Frequently Asked Questions
What is 52/400 in simplest form?
52/400 simplified to lowest terms is 13/100.
What is the GCD (GCF) of 52 and 400?
The Greatest Common Divisor (GCD) of 52 and 400 is 4.
What are equivalent fractions to 52/400?
Equivalent fractions to 52/400 include 26/200, 39/300, and 52/400.