What is 1160/1104 Simplified? (Reduce 1160/1104 to Lowest Terms: 145/138)

Exact Answer

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Problem: Simplify 1160/1104 to Lowest Terms
Formula / Expression: 1160/1104 = 145/138
Final Answer: 1 7/138 (145/138)
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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 1160: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160
• Factors of 1104: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184
Working: GCD(1160, 1104) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1160) and denominator (1104) by 8.
Working: 1160 ÷ 8/1104 ÷ 8 = 145/138

Step 3: Convert Improper Fraction to a Mixed Number
Because 145 is larger than 138, 145/138 can also be written as the mixed number 1 7/138.
Working: 145/138 = 1 7/138

Key Values:
- Simplified Fraction: 145/138
- Mixed Number Form: 1 7/138
- Decimal Value: 1.050725
- Percentage: 105.0725%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1160-1104/
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1160/1104 = 145/138

Simplified Fraction

145/138

Mixed Number

1 7/138

Decimal Value

1.050725

Percentage

105.0725%

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Step-by-Step Solution: 1160/1104 = 145/138

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1160: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160
• Factors of 1104: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184

GCD(1160, 1104) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1160) and denominator (1104) by 8.

1160 ÷ 8/1104 ÷ 8 = 145/138

Step 3

Convert Improper Fraction to a Mixed Number

Because 145 is larger than 138, 145/138 can also be written as the mixed number 1 7/138.

145/138 = 17/138

Visual Representation

The diagram below illustrates Simplify 1160/1104 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`145/138`
Mixed Number Form	`1 7/138`
Decimal Form	`1.050725`
Percentage	`105.0725%`

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Frequently Asked Questions

What is 1160/1104 in simplest form?

1160/1104 simplified to lowest terms is 145/138.

What is the GCD (GCF) of 1160 and 1104?

The Greatest Common Divisor (GCD) of 1160 and 1104 is 8.

What are equivalent fractions to 1160/1104?

Equivalent fractions to 1160/1104 include 290/276, 435/414, and 580/552.