Simplify 100/400 to Lowest Terms
100/400 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 100/400 using Greatest Common Divisor (GCD = 100).
Exact Answer
100/400 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 100/400 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 100:
• Factors of 400:
• Factors of 100:
1, 2, 4, 5, 10, 20, 25, 50, 100• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD(100, 400) = 100
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 100. Divide both the numerator (100) and denominator (400) by 100.
100 ÷ 100/400 ÷ 100 = 1/4
Visual Representation
The diagram below illustrates Simplify 100/400 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 100/400 in simplest form?
100/400 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 100 and 400?
The Greatest Common Divisor (GCD) of 100 and 400 is 100.
What are equivalent fractions to 100/400?
Equivalent fractions to 100/400 include 2/8, 3/12, and 4/16.