What is 1200/3648 Simplified? (Reduce 1200/3648 to Lowest Terms: 25/76)

Exact Answer

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Problem: Simplify 1200/3648 to Lowest Terms
Formula / Expression: 1200/3648 = 25/76
Final Answer: 25/76
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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 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 3648: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76
Working: GCD(1200, 3648) = 48

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 48. Divide both the numerator (1200) and denominator (3648) by 48.
Working: 1200 ÷ 48/3648 ÷ 48 = 25/76

Key Values:
- Simplified Fraction: 25/76
- Mixed Number Form: 25/76
- Decimal Value: 0.328947
- Percentage: 32.8947%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1200-3648/
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1200/3648 = 25/76

Simplified Fraction

25/76

Mixed Number

Proper (25/76)

Decimal Value

0.328947

Percentage

32.8947%

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Step-by-Step Solution: 1200/3648 = 25/76

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 3648: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76

GCD(1200, 3648) = 48

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 48. Divide both the numerator (1200) and denominator (3648) by 48.

1200 ÷ 48/3648 ÷ 48 = 25/76

Visual Representation

The diagram below illustrates Simplify 1200/3648 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/76`
Mixed Number Form	`25/76`
Decimal Form	`0.328947`
Percentage	`32.8947%`

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Frequently Asked Questions

What is 1200/3648 in simplest form?

1200/3648 simplified to lowest terms is 25/76.

What is the GCD (GCF) of 1200 and 3648?

The Greatest Common Divisor (GCD) of 1200 and 3648 is 48.

What are equivalent fractions to 1200/3648?

Equivalent fractions to 1200/3648 include 50/152, 75/228, and 100/304.