What is 1300/1490 Simplified? (Reduce 1300/1490 to Lowest Terms: 130/149)

Exact Answer

1300/1490 = 130/149

Simplified Fraction

130/149

Mixed Number

Proper (130/149)

Decimal Value

0.872483

Percentage

87.2483%

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Step-by-Step Solution: 1300/1490 = 130/149

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1300: 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325
• Factors of 1490: 1, 2, 5, 10, 149, 298, 745, 1490

GCD(1300, 1490) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1300) and denominator (1490) by 10.

1300 ÷ 10/1490 ÷ 10 = 130/149

Visual Representation

The diagram below illustrates Simplify 1300/1490 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`130/149`
Mixed Number Form	`130/149`
Decimal Form	`0.872483`
Percentage	`87.2483%`

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Frequently Asked Questions

What is 1300/1490 in simplest form?

1300/1490 simplified to lowest terms is 130/149.

What is the GCD (GCF) of 1300 and 1490?

The Greatest Common Divisor (GCD) of 1300 and 1490 is 10.

What are equivalent fractions to 1300/1490?

Equivalent fractions to 1300/1490 include 260/298, 390/447, and 520/596.