What is 5490/14980 Simplified? (Reduce 5490/14980 to Lowest Terms: 549/1498)

Exact Answer

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Problem: Simplify 5490/14980 to Lowest Terms
Formula / Expression: 5490/14980 = 549/1498
Final Answer: 549/1498
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 5490: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305
• Factors of 14980: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 107, 140, 214, 428, 535
Working: GCD(5490, 14980) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (5490) and denominator (14980) by 10.
Working: 5490 ÷ 10/14980 ÷ 10 = 549/1498

Key Values:
- Simplified Fraction: 549/1498
- Mixed Number Form: 549/1498
- Decimal Value: 0.366489
- Percentage: 36.6489%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-5490-14980/
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5490/14980 = 549/1498

Simplified Fraction

549/1498

Mixed Number

Proper (549/1498)

Decimal Value

0.366489

Percentage

36.6489%

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Step-by-Step Solution: 5490/14980 = 549/1498

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 5490: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305
• Factors of 14980: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 107, 140, 214, 428, 535

GCD(5490, 14980) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (5490) and denominator (14980) by 10.

5490 ÷ 10/14980 ÷ 10 = 549/1498

Visual Representation

The diagram below illustrates Simplify 5490/14980 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`549/1498`
Mixed Number Form	`549/1498`
Decimal Form	`0.366489`
Percentage	`36.6489%`

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Frequently Asked Questions

What is 5490/14980 in simplest form?

5490/14980 simplified to lowest terms is 549/1498.

What is the GCD (GCF) of 5490 and 14980?

The Greatest Common Divisor (GCD) of 5490 and 14980 is 10.

What are equivalent fractions to 5490/14980?

Equivalent fractions to 5490/14980 include 1098/2996, 1647/4494, and 2196/5992.