What is 1088/580 Simplified? (Reduce 1088/580 to Lowest Terms: 272/145)

Exact Answer

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Problem: Simplify 1088/580 to Lowest Terms
Formula / Expression: 1088/580 = 272/145
Final Answer: 1 127/145 (272/145)
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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 580: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Working: GCD(1088, 580) = 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 (580) by 4.
Working: 1088 ÷ 4/580 ÷ 4 = 272/145

Step 3: Convert Improper Fraction to a Mixed Number
Because 272 is larger than 145, 272/145 can also be written as the mixed number 1 127/145.
Working: 272/145 = 1 127/145

Key Values:
- Simplified Fraction: 272/145
- Mixed Number Form: 1 127/145
- Decimal Value: 1.875862
- Percentage: 187.5862%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1088-580/
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1088/580 = 272/145

Simplified Fraction

272/145

Mixed Number

1 127/145

Decimal Value

1.875862

Percentage

187.5862%

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Step-by-Step Solution: 1088/580 = 272/145

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 580: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD(1088, 580) = 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 (580) by 4.

1088 ÷ 4/580 ÷ 4 = 272/145

Step 3

Convert Improper Fraction to a Mixed Number

Because 272 is larger than 145, 272/145 can also be written as the mixed number 1 127/145.

272/145 = 1127/145

Visual Representation

The diagram below illustrates Simplify 1088/580 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`272/145`
Mixed Number Form	`1 127/145`
Decimal Form	`1.875862`
Percentage	`187.5862%`

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Frequently Asked Questions

What is 1088/580 in simplest form?

1088/580 simplified to lowest terms is 272/145.

What is the GCD (GCF) of 1088 and 580?

The Greatest Common Divisor (GCD) of 1088 and 580 is 4.

What are equivalent fractions to 1088/580?

Equivalent fractions to 1088/580 include 544/290, 816/435, and 1088/580.