What is 1330/748 Simplified? (Reduce 1330/748 to Lowest Terms: 665/374)

Exact Answer

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Problem: Simplify 1330/748 to Lowest Terms
Formula / Expression: 1330/748 = 665/374
Final Answer: 1 291/374 (665/374)
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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 748: 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Working: GCD(1330, 748) = 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 (748) by 2.
Working: 1330 ÷ 2/748 ÷ 2 = 665/374

Step 3: Convert Improper Fraction to a Mixed Number
Because 665 is larger than 374, 665/374 can also be written as the mixed number 1 291/374.
Working: 665/374 = 1 291/374

Key Values:
- Simplified Fraction: 665/374
- Mixed Number Form: 1 291/374
- Decimal Value: 1.778075
- Percentage: 177.8075%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1330-748/
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1330/748 = 665/374

Simplified Fraction

665/374

Mixed Number

1 291/374

Decimal Value

1.778075

Percentage

177.8075%

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Step-by-Step Solution: 1330/748 = 665/374

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 748: 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD(1330, 748) = 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 (748) by 2.

1330 ÷ 2/748 ÷ 2 = 665/374

Step 3

Convert Improper Fraction to a Mixed Number

Because 665 is larger than 374, 665/374 can also be written as the mixed number 1 291/374.

665/374 = 1291/374

Visual Representation

The diagram below illustrates Simplify 1330/748 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`665/374`
Mixed Number Form	`1 291/374`
Decimal Form	`1.778075`
Percentage	`177.8075%`

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Frequently Asked Questions

What is 1330/748 in simplest form?

1330/748 simplified to lowest terms is 665/374.

What is the GCD (GCF) of 1330 and 748?

The Greatest Common Divisor (GCD) of 1330 and 748 is 2.

What are equivalent fractions to 1330/748?

Equivalent fractions to 1330/748 include 1330/748, 1995/1122, and 2660/1496.