What is 490/1620 Simplified? (Reduce 490/1620 to Lowest Terms: 49/162)

Exact Answer

490/1620 = 49/162

Simplified Fraction

49/162

Mixed Number

Proper (49/162)

Decimal Value

0.302469

Percentage

30.2469%

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Step-by-Step Solution: 490/1620 = 49/162

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 1620: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45

GCD(490, 1620) = 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 (1620) by 10.

490 ÷ 10/1620 ÷ 10 = 49/162

Visual Representation

The diagram below illustrates Simplify 490/1620 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`49/162`
Mixed Number Form	`49/162`
Decimal Form	`0.302469`
Percentage	`30.2469%`

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Frequently Asked Questions

What is 490/1620 in simplest form?

490/1620 simplified to lowest terms is 49/162.

What is the GCD (GCF) of 490 and 1620?

The Greatest Common Divisor (GCD) of 490 and 1620 is 10.

What are equivalent fractions to 490/1620?

Equivalent fractions to 490/1620 include 98/324, 147/486, and 196/648.