Simplify 5490/7500 to Lowest Terms
5490/7500 simplified to its lowest terms is 183/250 (or 0.732 in decimal). See how to reduce 5490/7500 using Greatest Common Divisor (GCD = 30).
Exact Answer
5490/7500 = 183/250
Simplified Fraction
183/250
Mixed Number
Proper (183/250)
Decimal Value
0.732
Percentage
73.2%
Step-by-Step Solution: 5490/7500 = 183/250
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 5490:
• Factors of 7500:
• Factors of 5490:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305• Factors of 7500:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
GCD(5490, 7500) = 30
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (5490) and denominator (7500) by 30.
5490 ÷ 30/7500 ÷ 30 = 183/250
Visual Representation
The diagram below illustrates Simplify 5490/7500 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 183/250 |
| Mixed Number Form | 183/250 |
| Decimal Form | 0.732 |
| Percentage | 73.2% |
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Frequently Asked Questions
What is 5490/7500 in simplest form?
5490/7500 simplified to lowest terms is 183/250.
What is the GCD (GCF) of 5490 and 7500?
The Greatest Common Divisor (GCD) of 5490 and 7500 is 30.
What are equivalent fractions to 5490/7500?
Equivalent fractions to 5490/7500 include 366/500, 549/750, and 732/1000.