What is 1088/732 Simplified? (Reduce 1088/732 to Lowest Terms: 272/183)

Exact Answer

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Problem: Simplify 1088/732 to Lowest Terms
Formula / Expression: 1088/732 = 272/183
Final Answer: 1 89/183 (272/183)
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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 732: 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Working: GCD(1088, 732) = 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 (732) by 4.
Working: 1088 ÷ 4/732 ÷ 4 = 272/183

Step 3: Convert Improper Fraction to a Mixed Number
Because 272 is larger than 183, 272/183 can also be written as the mixed number 1 89/183.
Working: 272/183 = 1 89/183

Key Values:
- Simplified Fraction: 272/183
- Mixed Number Form: 1 89/183
- Decimal Value: 1.486339
- Percentage: 148.6339%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1088-732/
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1088/732 = 272/183

Simplified Fraction

272/183

Mixed Number

1 89/183

Decimal Value

1.486339

Percentage

148.6339%

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Step-by-Step Solution: 1088/732 = 272/183

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 732: 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD(1088, 732) = 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 (732) by 4.

1088 ÷ 4/732 ÷ 4 = 272/183

Step 3

Convert Improper Fraction to a Mixed Number

Because 272 is larger than 183, 272/183 can also be written as the mixed number 1 89/183.

272/183 = 189/183

Visual Representation

The diagram below illustrates Simplify 1088/732 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`272/183`
Mixed Number Form	`1 89/183`
Decimal Form	`1.486339`
Percentage	`148.6339%`

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Frequently Asked Questions

What is 1088/732 in simplest form?

1088/732 simplified to lowest terms is 272/183.

What is the GCD (GCF) of 1088 and 732?

The Greatest Common Divisor (GCD) of 1088 and 732 is 4.

What are equivalent fractions to 1088/732?

Equivalent fractions to 1088/732 include 544/366, 816/549, and 1088/732.