Simplify 92/120 to Lowest Terms
92/120 simplified to its lowest terms is 23/30 (or 0.766667 in decimal). See how to reduce 92/120 using Greatest Common Divisor (GCD = 4).
Exact Answer
92/120 = 23/30
Simplified Fraction
23/30
Mixed Number
Proper (23/30)
Decimal Value
0.766667
Percentage
76.6667%
Step-by-Step Solution: 92/120 = 23/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 92:
• Factors of 120:
• Factors of 92:
1, 2, 4, 23, 46, 92• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(92, 120) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (92) and denominator (120) by 4.
92 ÷ 4/120 ÷ 4 = 23/30
Visual Representation
The diagram below illustrates Simplify 92/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 23/30 |
| Mixed Number Form | 23/30 |
| Decimal Form | 0.766667 |
| Percentage | 76.6667% |
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Frequently Asked Questions
What is 92/120 in simplest form?
92/120 simplified to lowest terms is 23/30.
What is the GCD (GCF) of 92 and 120?
The Greatest Common Divisor (GCD) of 92 and 120 is 4.
What are equivalent fractions to 92/120?
Equivalent fractions to 92/120 include 46/60, 69/90, and 92/120.