Simplify 60/192 to Lowest Terms
60/192 simplified to its lowest terms is 5/16 (or 0.3125 in decimal). See how to reduce 60/192 using Greatest Common Divisor (GCD = 12).
Exact Answer
60/192 = 5/16
Simplified Fraction
5/16
Mixed Number
Proper (5/16)
Decimal Value
0.3125
Percentage
31.25%
Step-by-Step Solution: 60/192 = 5/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 192:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 192:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
GCD(60, 192) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (60) and denominator (192) by 12.
60 ÷ 12/192 ÷ 12 = 5/16
Visual Representation
The diagram below illustrates Simplify 60/192 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/16 |
| Mixed Number Form | 5/16 |
| Decimal Form | 0.3125 |
| Percentage | 31.25% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 60/192 in simplest form?
60/192 simplified to lowest terms is 5/16.
What is the GCD (GCF) of 60 and 192?
The Greatest Common Divisor (GCD) of 60 and 192 is 12.
What are equivalent fractions to 60/192?
Equivalent fractions to 60/192 include 10/32, 15/48, and 20/64.