What is 490/1764 Simplified? (Reduce 490/1764 to Lowest Terms: 5/18)

Exact Answer

490/1764 = 5/18

Simplified Fraction

5/18

Mixed Number

Proper (5/18)

Decimal Value

0.277778

Percentage

27.7778%

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Step-by-Step Solution: 490/1764 = 5/18

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 490: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
• Factors of 1764: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63

GCD(490, 1764) = 98

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 98. Divide both the numerator (490) and denominator (1764) by 98.

490 ÷ 98/1764 ÷ 98 = 5/18

Visual Representation

The diagram below illustrates Simplify 490/1764 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/18`
Mixed Number Form	`5/18`
Decimal Form	`0.277778`
Percentage	`27.7778%`

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Frequently Asked Questions

What is 490/1764 in simplest form?

490/1764 simplified to lowest terms is 5/18.

What is the GCD (GCF) of 490 and 1764?

The Greatest Common Divisor (GCD) of 490 and 1764 is 98.

What are equivalent fractions to 490/1764?

Equivalent fractions to 490/1764 include 10/36, 15/54, and 20/72.