What is 1490/1200 Simplified? (Reduce 1490/1200 to Lowest Terms: 149/120)

Exact Answer

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Problem: Simplify 1490/1200 to Lowest Terms
Formula / Expression: 1490/1200 = 149/120
Final Answer: 1 29/120 (149/120)
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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 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
Working: GCD(1490, 1200) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1490) and denominator (1200) by 10.
Working: 1490 ÷ 10/1200 ÷ 10 = 149/120

Step 3: Convert Improper Fraction to a Mixed Number
Because 149 is larger than 120, 149/120 can also be written as the mixed number 1 29/120.
Working: 149/120 = 1 29/120

Key Values:
- Simplified Fraction: 149/120
- Mixed Number Form: 1 29/120
- Decimal Value: 1.241667
- Percentage: 124.1667%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1490-1200/
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1490/1200 = 149/120

Simplified Fraction

149/120

Mixed Number

1 29/120

Decimal Value

1.241667

Percentage

124.1667%

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Step-by-Step Solution: 1490/1200 = 149/120

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 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40

GCD(1490, 1200) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1490) and denominator (1200) by 10.

1490 ÷ 10/1200 ÷ 10 = 149/120

Step 3

Convert Improper Fraction to a Mixed Number

Because 149 is larger than 120, 149/120 can also be written as the mixed number 1 29/120.

149/120 = 129/120

Visual Representation

The diagram below illustrates Simplify 1490/1200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`149/120`
Mixed Number Form	`1 29/120`
Decimal Form	`1.241667`
Percentage	`124.1667%`

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Frequently Asked Questions

What is 1490/1200 in simplest form?

1490/1200 simplified to lowest terms is 149/120.

What is the GCD (GCF) of 1490 and 1200?

The Greatest Common Divisor (GCD) of 1490 and 1200 is 10.

What are equivalent fractions to 1490/1200?

Equivalent fractions to 1490/1200 include 298/240, 447/360, and 596/480.