Simplify 120/86 to Lowest Terms
120/86 simplified to its lowest terms is 60/43 (or 1.395349 in decimal). See how to reduce 120/86 using Greatest Common Divisor (GCD = 2).
Exact Answer
120/86 = 60/43
Simplified Fraction
60/43
Mixed Number
1 17/43
Decimal Value
1.395349
Percentage
139.5349%
Step-by-Step Solution: 120/86 = 60/43
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 120:
• Factors of 86:
• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120• Factors of 86:
1, 2, 43, 86
GCD(120, 86) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (120) and denominator (86) by 2.
120 ÷ 2/86 ÷ 2 = 60/43
Step 3
Convert Improper Fraction to a Mixed Number
Because 60 is larger than 43, 60/43 can also be written as the mixed number 1 17/43.
60/43 = 117/43
Visual Representation
The diagram below illustrates Simplify 120/86 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 60/43 |
| Mixed Number Form | 1 17/43 |
| Decimal Form | 1.395349 |
| Percentage | 139.5349% |
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Frequently Asked Questions
What is 120/86 in simplest form?
120/86 simplified to lowest terms is 60/43.
What is the GCD (GCF) of 120 and 86?
The Greatest Common Divisor (GCD) of 120 and 86 is 2.
What are equivalent fractions to 120/86?
Equivalent fractions to 120/86 include 120/86, 180/129, and 240/172.