Simplify 5490/4380 to Lowest Terms
5490/4380 simplified to its lowest terms is 183/146 (or 1.253425 in decimal). See how to reduce 5490/4380 using Greatest Common Divisor (GCD = 30).
Exact Answer
5490/4380 = 183/146
Simplified Fraction
183/146
Mixed Number
1 37/146
Decimal Value
1.253425
Percentage
125.3425%
Step-by-Step Solution: 5490/4380 = 183/146
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 5490:
• Factors of 4380:
• Factors of 5490:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305• Factors of 4380:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292
GCD(5490, 4380) = 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 (4380) by 30.
5490 ÷ 30/4380 ÷ 30 = 183/146
Step 3
Convert Improper Fraction to a Mixed Number
Because 183 is larger than 146, 183/146 can also be written as the mixed number 1 37/146.
183/146 = 137/146
Visual Representation
The diagram below illustrates Simplify 5490/4380 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 183/146 |
| Mixed Number Form | 1 37/146 |
| Decimal Form | 1.253425 |
| Percentage | 125.3425% |
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Frequently Asked Questions
What is 5490/4380 in simplest form?
5490/4380 simplified to lowest terms is 183/146.
What is the GCD (GCF) of 5490 and 4380?
The Greatest Common Divisor (GCD) of 5490 and 4380 is 30.
What are equivalent fractions to 5490/4380?
Equivalent fractions to 5490/4380 include 366/292, 549/438, and 732/584.