Simplify 60/126 to Lowest Terms
60/126 simplified to its lowest terms is 10/21 (or 0.47619 in decimal). See how to reduce 60/126 using Greatest Common Divisor (GCD = 6).
Exact Answer
60/126 = 10/21
Simplified Fraction
10/21
Mixed Number
Proper (10/21)
Decimal Value
0.47619
Percentage
47.619%
Step-by-Step Solution: 60/126 = 10/21
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 126:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 126:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD(60, 126) = 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 (126) by 6.
60 ÷ 6/126 ÷ 6 = 10/21
Visual Representation
The diagram below illustrates Simplify 60/126 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 10/21 |
| Mixed Number Form | 10/21 |
| Decimal Form | 0.47619 |
| Percentage | 47.619% |
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Frequently Asked Questions
What is 60/126 in simplest form?
60/126 simplified to lowest terms is 10/21.
What is the GCD (GCF) of 60 and 126?
The Greatest Common Divisor (GCD) of 60 and 126 is 6.
What are equivalent fractions to 60/126?
Equivalent fractions to 60/126 include 20/42, 30/63, and 40/84.