What is 1200/1102 Simplified? (Reduce 1200/1102 to Lowest Terms: 600/551)

Exact Answer

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Problem: Simplify 1200/1102 to Lowest Terms
Formula / Expression: 1200/1102 = 600/551
Final Answer: 1 49/551 (600/551)
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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 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 1102: 1, 2, 19, 29, 38, 58, 551, 1102
Working: GCD(1200, 1102) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1200) and denominator (1102) by 2.
Working: 1200 ÷ 2/1102 ÷ 2 = 600/551

Step 3: Convert Improper Fraction to a Mixed Number
Because 600 is larger than 551, 600/551 can also be written as the mixed number 1 49/551.
Working: 600/551 = 1 49/551

Key Values:
- Simplified Fraction: 600/551
- Mixed Number Form: 1 49/551
- Decimal Value: 1.088929
- Percentage: 108.8929%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1200-1102/
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1200/1102 = 600/551

Simplified Fraction

600/551

Mixed Number

1 49/551

Decimal Value

1.088929

Percentage

108.8929%

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Step-by-Step Solution: 1200/1102 = 600/551

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 1102: 1, 2, 19, 29, 38, 58, 551, 1102

GCD(1200, 1102) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1200) and denominator (1102) by 2.

1200 ÷ 2/1102 ÷ 2 = 600/551

Step 3

Convert Improper Fraction to a Mixed Number

Because 600 is larger than 551, 600/551 can also be written as the mixed number 1 49/551.

600/551 = 149/551

Visual Representation

The diagram below illustrates Simplify 1200/1102 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`600/551`
Mixed Number Form	`1 49/551`
Decimal Form	`1.088929`
Percentage	`108.8929%`

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Frequently Asked Questions

What is 1200/1102 in simplest form?

1200/1102 simplified to lowest terms is 600/551.

What is the GCD (GCF) of 1200 and 1102?

The Greatest Common Divisor (GCD) of 1200 and 1102 is 2.

What are equivalent fractions to 1200/1102?

Equivalent fractions to 1200/1102 include 1200/1102, 1800/1653, and 2400/2204.