What is 1200/1608 Simplified? (Reduce 1200/1608 to Lowest Terms: 50/67)

Exact Answer

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Problem: Simplify 1200/1608 to Lowest Terms
Formula / Expression: 1200/1608 = 50/67
Final Answer: 50/67
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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 1608: 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
Working: GCD(1200, 1608) = 24

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1200) and denominator (1608) by 24.
Working: 1200 ÷ 24/1608 ÷ 24 = 50/67

Key Values:
- Simplified Fraction: 50/67
- Mixed Number Form: 50/67
- Decimal Value: 0.746269
- Percentage: 74.6269%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1200-1608/
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1200/1608 = 50/67

Simplified Fraction

50/67

Mixed Number

Proper (50/67)

Decimal Value

0.746269

Percentage

74.6269%

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Step-by-Step Solution: 1200/1608 = 50/67

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 1608: 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608

GCD(1200, 1608) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1200) and denominator (1608) by 24.

1200 ÷ 24/1608 ÷ 24 = 50/67

Visual Representation

The diagram below illustrates Simplify 1200/1608 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`50/67`
Mixed Number Form	`50/67`
Decimal Form	`0.746269`
Percentage	`74.6269%`

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Frequently Asked Questions

What is 1200/1608 in simplest form?

1200/1608 simplified to lowest terms is 50/67.

What is the GCD (GCF) of 1200 and 1608?

The Greatest Common Divisor (GCD) of 1200 and 1608 is 24.

What are equivalent fractions to 1200/1608?

Equivalent fractions to 1200/1608 include 100/134, 150/201, and 200/268.