What is 1490/1104 Simplified? (Reduce 1490/1104 to Lowest Terms: 745/552)

Exact Answer

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Problem: Simplify 1490/1104 to Lowest Terms
Formula / Expression: 1490/1104 = 745/552
Final Answer: 1 193/552 (745/552)
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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 1490: 1, 2, 5, 10, 149, 298, 745, 1490
• Factors of 1104: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184
Working: GCD(1490, 1104) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1490) and denominator (1104) by 2.
Working: 1490 ÷ 2/1104 ÷ 2 = 745/552

Step 3: Convert Improper Fraction to a Mixed Number
Because 745 is larger than 552, 745/552 can also be written as the mixed number 1 193/552.
Working: 745/552 = 1 193/552

Key Values:
- Simplified Fraction: 745/552
- Mixed Number Form: 1 193/552
- Decimal Value: 1.349638
- Percentage: 134.9638%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1490-1104/
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1490/1104 = 745/552

Simplified Fraction

745/552

Mixed Number

1 193/552

Decimal Value

1.349638

Percentage

134.9638%

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Step-by-Step Solution: 1490/1104 = 745/552

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1490: 1, 2, 5, 10, 149, 298, 745, 1490
• Factors of 1104: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184

GCD(1490, 1104) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1490) and denominator (1104) by 2.

1490 ÷ 2/1104 ÷ 2 = 745/552

Step 3

Convert Improper Fraction to a Mixed Number

Because 745 is larger than 552, 745/552 can also be written as the mixed number 1 193/552.

745/552 = 1193/552

Visual Representation

The diagram below illustrates Simplify 1490/1104 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`745/552`
Mixed Number Form	`1 193/552`
Decimal Form	`1.349638`
Percentage	`134.9638%`

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Frequently Asked Questions

What is 1490/1104 in simplest form?

1490/1104 simplified to lowest terms is 745/552.

What is the GCD (GCF) of 1490 and 1104?

The Greatest Common Divisor (GCD) of 1490 and 1104 is 2.

What are equivalent fractions to 1490/1104?

Equivalent fractions to 1490/1104 include 1490/1104, 2235/1656, and 2980/2208.