What is 1088/1164 Simplified? (Reduce 1088/1164 to Lowest Terms: 272/291)

Exact Answer

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Problem: Simplify 1088/1164 to Lowest Terms
Formula / Expression: 1088/1164 = 272/291
Final Answer: 272/291
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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 1088: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088
• Factors of 1164: 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164
Working: GCD(1088, 1164) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1088) and denominator (1164) by 4.
Working: 1088 ÷ 4/1164 ÷ 4 = 272/291

Key Values:
- Simplified Fraction: 272/291
- Mixed Number Form: 272/291
- Decimal Value: 0.934708
- Percentage: 93.4708%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1088-1164/
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1088/1164 = 272/291

Simplified Fraction

272/291

Mixed Number

Proper (272/291)

Decimal Value

0.934708

Percentage

93.4708%

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Step-by-Step Solution: 1088/1164 = 272/291

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1088: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088
• Factors of 1164: 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164

GCD(1088, 1164) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1088) and denominator (1164) by 4.

1088 ÷ 4/1164 ÷ 4 = 272/291

Visual Representation

The diagram below illustrates Simplify 1088/1164 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`272/291`
Mixed Number Form	`272/291`
Decimal Form	`0.934708`
Percentage	`93.4708%`

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Frequently Asked Questions

What is 1088/1164 in simplest form?

1088/1164 simplified to lowest terms is 272/291.

What is the GCD (GCF) of 1088 and 1164?

The Greatest Common Divisor (GCD) of 1088 and 1164 is 4.

What are equivalent fractions to 1088/1164?

Equivalent fractions to 1088/1164 include 544/582, 816/873, and 1088/1164.