Simplify 60/200 to Lowest Terms
60/200 simplified to its lowest terms is 3/10 (or 0.3 in decimal). See how to reduce 60/200 using Greatest Common Divisor (GCD = 20).
Exact Answer
60/200 = 3/10
Simplified Fraction
3/10
Mixed Number
Proper (3/10)
Decimal Value
0.3
Percentage
30%
Step-by-Step Solution: 60/200 = 3/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 60:
โข Factors of 200:
โข Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60โข Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD(60, 200) = 20
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (60) and denominator (200) by 20.
60 รท 20/200 รท 20 = 3/10
Visual Representation
The diagram below illustrates Simplify 60/200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/10 |
| Mixed Number Form | 3/10 |
| Decimal Form | 0.3 |
| Percentage | 30% |
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Frequently Asked Questions
What is 60/200 in simplest form?
60/200 simplified to lowest terms is 3/10.
What is the GCD (GCF) of 60 and 200?
The Greatest Common Divisor (GCD) of 60 and 200 is 20.
What are equivalent fractions to 60/200?
Equivalent fractions to 60/200 include 6/20, 9/30, and 12/40.