What is 490/1760 Simplified? (Reduce 490/1760 to Lowest Terms: 49/176)

Exact Answer

490/1760 = 49/176

Simplified Fraction

49/176

Mixed Number

Proper (49/176)

Decimal Value

0.278409

Percentage

27.8409%

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Step-by-Step Solution: 490/1760 = 49/176

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 1760: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88

GCD(490, 1760) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (490) and denominator (1760) by 10.

490 ÷ 10/1760 ÷ 10 = 49/176

Visual Representation

The diagram below illustrates Simplify 490/1760 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`49/176`
Mixed Number Form	`49/176`
Decimal Form	`0.278409`
Percentage	`27.8409%`

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Frequently Asked Questions

What is 490/1760 in simplest form?

490/1760 simplified to lowest terms is 49/176.

What is the GCD (GCF) of 490 and 1760?

The Greatest Common Divisor (GCD) of 490 and 1760 is 10.

What are equivalent fractions to 490/1760?

Equivalent fractions to 490/1760 include 98/352, 147/528, and 196/704.