What is 1308/1680 Simplified? (Reduce 1308/1680 to Lowest Terms: 109/140)

Exact Answer

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Problem: Simplify 1308/1680 to Lowest Terms
Formula / Expression: 1308/1680 = 109/140
Final Answer: 109/140
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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 1680: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24
Working: GCD(1308, 1680) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1308) and denominator (1680) by 12.
Working: 1308 ÷ 12/1680 ÷ 12 = 109/140

Key Values:
- Simplified Fraction: 109/140
- Mixed Number Form: 109/140
- Decimal Value: 0.778571
- Percentage: 77.8571%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1308-1680/
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1308/1680 = 109/140

Simplified Fraction

109/140

Mixed Number

Proper (109/140)

Decimal Value

0.778571

Percentage

77.8571%

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Step-by-Step Solution: 1308/1680 = 109/140

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 1680: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24

GCD(1308, 1680) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1308) and denominator (1680) by 12.

1308 ÷ 12/1680 ÷ 12 = 109/140

Visual Representation

The diagram below illustrates Simplify 1308/1680 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`109/140`
Mixed Number Form	`109/140`
Decimal Form	`0.778571`
Percentage	`77.8571%`

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Frequently Asked Questions

What is 1308/1680 in simplest form?

1308/1680 simplified to lowest terms is 109/140.

What is the GCD (GCF) of 1308 and 1680?

The Greatest Common Divisor (GCD) of 1308 and 1680 is 12.

What are equivalent fractions to 1308/1680?

Equivalent fractions to 1308/1680 include 218/280, 327/420, and 436/560.