Simplify 120/400 to Lowest Terms
120/400 simplified to its lowest terms is 3/10 (or 0.3 in decimal). See how to reduce 120/400 using Greatest Common Divisor (GCD = 40).
Exact Answer
120/400 = 3/10
Simplified Fraction
3/10
Mixed Number
Proper (3/10)
Decimal Value
0.3
Percentage
30%
Step-by-Step Solution: 120/400 = 3/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 120:
• Factors of 400:
• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD(120, 400) = 40
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 40. Divide both the numerator (120) and denominator (400) by 40.
120 ÷ 40/400 ÷ 40 = 3/10
Visual Representation
The diagram below illustrates Simplify 120/400 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/10 |
| Mixed Number Form | 3/10 |
| Decimal Form | 0.3 |
| Percentage | 30% |
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Frequently Asked Questions
What is 120/400 in simplest form?
120/400 simplified to lowest terms is 3/10.
What is the GCD (GCF) of 120 and 400?
The Greatest Common Divisor (GCD) of 120 and 400 is 40.
What are equivalent fractions to 120/400?
Equivalent fractions to 120/400 include 6/20, 9/30, and 12/40.