What is 1152/804 Simplified? (Reduce 1152/804 to Lowest Terms: 96/67)

Exact Answer

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Problem: Simplify 1152/804 to Lowest Terms
Formula / Expression: 1152/804 = 96/67
Final Answer: 1 29/67 (96/67)
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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 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
• Factors of 804: 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Working: GCD(1152, 804) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1152) and denominator (804) by 12.
Working: 1152 ÷ 12/804 ÷ 12 = 96/67

Step 3: Convert Improper Fraction to a Mixed Number
Because 96 is larger than 67, 96/67 can also be written as the mixed number 1 29/67.
Working: 96/67 = 1 29/67

Key Values:
- Simplified Fraction: 96/67
- Mixed Number Form: 1 29/67
- Decimal Value: 1.432836
- Percentage: 143.2836%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1152-804/
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1152/804 = 96/67

Simplified Fraction

96/67

Mixed Number

1 29/67

Decimal Value

1.432836

Percentage

143.2836%

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Step-by-Step Solution: 1152/804 = 96/67

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
• Factors of 804: 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD(1152, 804) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1152) and denominator (804) by 12.

1152 ÷ 12/804 ÷ 12 = 96/67

Step 3

Convert Improper Fraction to a Mixed Number

Because 96 is larger than 67, 96/67 can also be written as the mixed number 1 29/67.

96/67 = 129/67

Visual Representation

The diagram below illustrates Simplify 1152/804 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`96/67`
Mixed Number Form	`1 29/67`
Decimal Form	`1.432836`
Percentage	`143.2836%`

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Frequently Asked Questions

What is 1152/804 in simplest form?

1152/804 simplified to lowest terms is 96/67.

What is the GCD (GCF) of 1152 and 804?

The Greatest Common Divisor (GCD) of 1152 and 804 is 12.

What are equivalent fractions to 1152/804?

Equivalent fractions to 1152/804 include 192/134, 288/201, and 384/268.