Simplify 122/420 to Lowest Terms
122/420 simplified to its lowest terms is 61/210 (or 0.290476 in decimal). See how to reduce 122/420 using Greatest Common Divisor (GCD = 2).
Exact Answer
122/420 = 61/210
Simplified Fraction
61/210
Mixed Number
Proper (61/210)
Decimal Value
0.290476
Percentage
29.0476%
Step-by-Step Solution: 122/420 = 61/210
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 122:
• Factors of 420:
• Factors of 122:
1, 2, 61, 122• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(122, 420) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (122) and denominator (420) by 2.
122 ÷ 2/420 ÷ 2 = 61/210
Visual Representation
The diagram below illustrates Simplify 122/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 61/210 |
| Mixed Number Form | 61/210 |
| Decimal Form | 0.290476 |
| Percentage | 29.0476% |
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Frequently Asked Questions
What is 122/420 in simplest form?
122/420 simplified to lowest terms is 61/210.
What is the GCD (GCF) of 122 and 420?
The Greatest Common Divisor (GCD) of 122 and 420 is 2.
What are equivalent fractions to 122/420?
Equivalent fractions to 122/420 include 122/420, 183/630, and 244/840.