What is 1308/1480 Simplified? (Reduce 1308/1480 to Lowest Terms: 327/370)

Exact Answer

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Problem: Simplify 1308/1480 to Lowest Terms
Formula / Expression: 1308/1480 = 327/370
Final Answer: 327/370
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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 1308: 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
• Factors of 1480: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
Working: GCD(1308, 1480) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1308) and denominator (1480) by 4.
Working: 1308 ÷ 4/1480 ÷ 4 = 327/370

Key Values:
- Simplified Fraction: 327/370
- Mixed Number Form: 327/370
- Decimal Value: 0.883784
- Percentage: 88.3784%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1308-1480/
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1308/1480 = 327/370

Simplified Fraction

327/370

Mixed Number

Proper (327/370)

Decimal Value

0.883784

Percentage

88.3784%

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Step-by-Step Solution: 1308/1480 = 327/370

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1308: 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
• Factors of 1480: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480

GCD(1308, 1480) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1308) and denominator (1480) by 4.

1308 ÷ 4/1480 ÷ 4 = 327/370

Visual Representation

The diagram below illustrates Simplify 1308/1480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`327/370`
Mixed Number Form	`327/370`
Decimal Form	`0.883784`
Percentage	`88.3784%`

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Frequently Asked Questions

What is 1308/1480 in simplest form?

1308/1480 simplified to lowest terms is 327/370.

What is the GCD (GCF) of 1308 and 1480?

The Greatest Common Divisor (GCD) of 1308 and 1480 is 4.

What are equivalent fractions to 1308/1480?

Equivalent fractions to 1308/1480 include 654/740, 981/1110, and 1308/1480.