Simplify 60/90 to Lowest Terms
60/90 simplified to its lowest terms is 2/3 (or 0.666667 in decimal). See how to reduce 60/90 using Greatest Common Divisor (GCD = 30).
Exact Answer
60/90 = 2/3
Simplified Fraction
2/3
Mixed Number
Proper (2/3)
Decimal Value
0.666667
Percentage
66.6667%
Step-by-Step Solution: 60/90 = 2/3
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 90:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCD(60, 90) = 30
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (60) and denominator (90) by 30.
60 ÷ 30/90 ÷ 30 = 2/3
Visual Representation
The diagram below illustrates Simplify 60/90 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/3 |
| Mixed Number Form | 2/3 |
| Decimal Form | 0.666667 |
| Percentage | 66.6667% |
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Frequently Asked Questions
What is 60/90 in simplest form?
60/90 simplified to lowest terms is 2/3.
What is the GCD (GCF) of 60 and 90?
The Greatest Common Divisor (GCD) of 60 and 90 is 30.
What are equivalent fractions to 60/90?
Equivalent fractions to 60/90 include 4/6, 6/9, and 8/12.