What is 390/1140 Simplified? (Reduce 390/1140 to Lowest Terms: 13/38)

Exact Answer

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Problem: Simplify 390/1140 to Lowest Terms
Formula / Expression: 390/1140 = 13/38
Final Answer: 13/38
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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 390: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
• Factors of 1140: 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76
Working: GCD(390, 1140) = 30

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (390) and denominator (1140) by 30.
Working: 390 ÷ 30/1140 ÷ 30 = 13/38

Key Values:
- Simplified Fraction: 13/38
- Mixed Number Form: 13/38
- Decimal Value: 0.342105
- Percentage: 34.2105%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-390-1140/
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390/1140 = 13/38

Simplified Fraction

13/38

Mixed Number

Proper (13/38)

Decimal Value

0.342105

Percentage

34.2105%

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Step-by-Step Solution: 390/1140 = 13/38

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 390: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
• Factors of 1140: 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76

GCD(390, 1140) = 30

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 30. Divide both the numerator (390) and denominator (1140) by 30.

390 ÷ 30/1140 ÷ 30 = 13/38

Visual Representation

The diagram below illustrates Simplify 390/1140 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/38`
Mixed Number Form	`13/38`
Decimal Form	`0.342105`
Percentage	`34.2105%`

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Frequently Asked Questions

What is 390/1140 in simplest form?

390/1140 simplified to lowest terms is 13/38.

What is the GCD (GCF) of 390 and 1140?

The Greatest Common Divisor (GCD) of 390 and 1140 is 30.

What are equivalent fractions to 390/1140?

Equivalent fractions to 390/1140 include 26/76, 39/114, and 52/152.