What is 1330/1508 Simplified? (Reduce 1330/1508 to Lowest Terms: 665/754)

Exact Answer

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Problem: Simplify 1330/1508 to Lowest Terms
Formula / Expression: 1330/1508 = 665/754
Final Answer: 665/754
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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 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
• Factors of 1508: 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
Working: GCD(1330, 1508) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1330) and denominator (1508) by 2.
Working: 1330 ÷ 2/1508 ÷ 2 = 665/754

Key Values:
- Simplified Fraction: 665/754
- Mixed Number Form: 665/754
- Decimal Value: 0.881963
- Percentage: 88.1963%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1330-1508/
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1330/1508 = 665/754

Simplified Fraction

665/754

Mixed Number

Proper (665/754)

Decimal Value

0.881963

Percentage

88.1963%

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Step-by-Step Solution: 1330/1508 = 665/754

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
• Factors of 1508: 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508

GCD(1330, 1508) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1330) and denominator (1508) by 2.

1330 ÷ 2/1508 ÷ 2 = 665/754

Visual Representation

The diagram below illustrates Simplify 1330/1508 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`665/754`
Mixed Number Form	`665/754`
Decimal Form	`0.881963`
Percentage	`88.1963%`

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Frequently Asked Questions

What is 1330/1508 in simplest form?

1330/1508 simplified to lowest terms is 665/754.

What is the GCD (GCF) of 1330 and 1508?

The Greatest Common Divisor (GCD) of 1330 and 1508 is 2.

What are equivalent fractions to 1330/1508?

Equivalent fractions to 1330/1508 include 1330/1508, 1995/2262, and 2660/3016.