What is 1488/1102 Simplified? (Reduce 1488/1102 to Lowest Terms: 744/551)

Exact Answer

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Problem: Simplify 1488/1102 to Lowest Terms
Formula / Expression: 1488/1102 = 744/551
Final Answer: 1 193/551 (744/551)
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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 1488: 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248
• Factors of 1102: 1, 2, 19, 29, 38, 58, 551, 1102
Working: GCD(1488, 1102) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1488) and denominator (1102) by 2.
Working: 1488 ÷ 2/1102 ÷ 2 = 744/551

Step 3: Convert Improper Fraction to a Mixed Number
Because 744 is larger than 551, 744/551 can also be written as the mixed number 1 193/551.
Working: 744/551 = 1 193/551

Key Values:
- Simplified Fraction: 744/551
- Mixed Number Form: 1 193/551
- Decimal Value: 1.350272
- Percentage: 135.0272%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1488-1102/
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1488/1102 = 744/551

Simplified Fraction

744/551

Mixed Number

1 193/551

Decimal Value

1.350272

Percentage

135.0272%

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Step-by-Step Solution: 1488/1102 = 744/551

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1488: 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248
• Factors of 1102: 1, 2, 19, 29, 38, 58, 551, 1102

GCD(1488, 1102) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1488) and denominator (1102) by 2.

1488 ÷ 2/1102 ÷ 2 = 744/551

Step 3

Convert Improper Fraction to a Mixed Number

Because 744 is larger than 551, 744/551 can also be written as the mixed number 1 193/551.

744/551 = 1193/551

Visual Representation

The diagram below illustrates Simplify 1488/1102 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`744/551`
Mixed Number Form	`1 193/551`
Decimal Form	`1.350272`
Percentage	`135.0272%`

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Frequently Asked Questions

What is 1488/1102 in simplest form?

1488/1102 simplified to lowest terms is 744/551.

What is the GCD (GCF) of 1488 and 1102?

The Greatest Common Divisor (GCD) of 1488 and 1102 is 2.

What are equivalent fractions to 1488/1102?

Equivalent fractions to 1488/1102 include 1488/1102, 2232/1653, and 2976/2204.