Simplify 120/416 to Lowest Terms
120/416 simplified to its lowest terms is 15/52 (or 0.288462 in decimal). See how to reduce 120/416 using Greatest Common Divisor (GCD = 8).
Exact Answer
120/416 = 15/52
Simplified Fraction
15/52
Mixed Number
Proper (15/52)
Decimal Value
0.288462
Percentage
28.8462%
Step-by-Step Solution: 120/416 = 15/52
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 120:
• Factors of 416:
• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120• Factors of 416:
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
GCD(120, 416) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (120) and denominator (416) by 8.
120 ÷ 8/416 ÷ 8 = 15/52
Visual Representation
The diagram below illustrates Simplify 120/416 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 15/52 |
| Mixed Number Form | 15/52 |
| Decimal Form | 0.288462 |
| Percentage | 28.8462% |
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Frequently Asked Questions
What is 120/416 in simplest form?
120/416 simplified to lowest terms is 15/52.
What is the GCD (GCF) of 120 and 416?
The Greatest Common Divisor (GCD) of 120 and 416 is 8.
What are equivalent fractions to 120/416?
Equivalent fractions to 120/416 include 30/104, 45/156, and 60/208.