Simplify 60/138 to Lowest Terms
60/138 simplified to its lowest terms is 10/23 (or 0.434783 in decimal). See how to reduce 60/138 using Greatest Common Divisor (GCD = 6).
Exact Answer
60/138 = 10/23
Simplified Fraction
10/23
Mixed Number
Proper (10/23)
Decimal Value
0.434783
Percentage
43.4783%
Step-by-Step Solution: 60/138 = 10/23
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 138:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 138:
1, 2, 3, 6, 23, 46, 69, 138
GCD(60, 138) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (60) and denominator (138) by 6.
60 ÷ 6/138 ÷ 6 = 10/23
Visual Representation
The diagram below illustrates Simplify 60/138 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 10/23 |
| Mixed Number Form | 10/23 |
| Decimal Form | 0.434783 |
| Percentage | 43.4783% |
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Frequently Asked Questions
What is 60/138 in simplest form?
60/138 simplified to lowest terms is 10/23.
What is the GCD (GCF) of 60 and 138?
The Greatest Common Divisor (GCD) of 60 and 138 is 6.
What are equivalent fractions to 60/138?
Equivalent fractions to 60/138 include 20/46, 30/69, and 40/92.