Simplify 120/222 to Lowest Terms
120/222 simplified to its lowest terms is 20/37 (or 0.540541 in decimal). See how to reduce 120/222 using Greatest Common Divisor (GCD = 6).
Exact Answer
120/222 = 20/37
Simplified Fraction
20/37
Mixed Number
Proper (20/37)
Decimal Value
0.540541
Percentage
54.0541%
Step-by-Step Solution: 120/222 = 20/37
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 120:
• Factors of 222:
• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120• Factors of 222:
1, 2, 3, 6, 37, 74, 111, 222
GCD(120, 222) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (120) and denominator (222) by 6.
120 ÷ 6/222 ÷ 6 = 20/37
Visual Representation
The diagram below illustrates Simplify 120/222 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 20/37 |
| Mixed Number Form | 20/37 |
| Decimal Form | 0.540541 |
| Percentage | 54.0541% |
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Frequently Asked Questions
What is 120/222 in simplest form?
120/222 simplified to lowest terms is 20/37.
What is the GCD (GCF) of 120 and 222?
The Greatest Common Divisor (GCD) of 120 and 222 is 6.
What are equivalent fractions to 120/222?
Equivalent fractions to 120/222 include 40/74, 60/111, and 80/148.