What is 1308/2952 Simplified? (Reduce 1308/2952 to Lowest Terms: 109/246)

Exact Answer

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Problem: Simplify 1308/2952 to Lowest Terms
Formula / Expression: 1308/2952 = 109/246
Final Answer: 109/246
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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 2952: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164
Working: GCD(1308, 2952) = 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 (2952) by 12.
Working: 1308 ÷ 12/2952 ÷ 12 = 109/246

Key Values:
- Simplified Fraction: 109/246
- Mixed Number Form: 109/246
- Decimal Value: 0.443089
- Percentage: 44.3089%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1308-2952/
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1308/2952 = 109/246

Simplified Fraction

109/246

Mixed Number

Proper (109/246)

Decimal Value

0.443089

Percentage

44.3089%

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Step-by-Step Solution: 1308/2952 = 109/246

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 2952: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164

GCD(1308, 2952) = 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 (2952) by 12.

1308 ÷ 12/2952 ÷ 12 = 109/246

Visual Representation

The diagram below illustrates Simplify 1308/2952 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`109/246`
Mixed Number Form	`109/246`
Decimal Form	`0.443089`
Percentage	`44.3089%`

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Frequently Asked Questions

What is 1308/2952 in simplest form?

1308/2952 simplified to lowest terms is 109/246.

What is the GCD (GCF) of 1308 and 2952?

The Greatest Common Divisor (GCD) of 1308 and 2952 is 12.

What are equivalent fractions to 1308/2952?

Equivalent fractions to 1308/2952 include 218/492, 327/738, and 436/984.