What is 390/900 Simplified? (Reduce 390/900 to Lowest Terms: 13/30)

Exact Answer

390/900 = 13/30

Simplified Fraction

13/30

Mixed Number

Proper (13/30)

Decimal Value

0.433333

Percentage

43.3333%

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Step-by-Step Solution: 390/900 = 13/30

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 900: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45

GCD(390, 900) = 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 (900) by 30.

390 ÷ 30/900 ÷ 30 = 13/30

Visual Representation

The diagram below illustrates Simplify 390/900 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/30`
Mixed Number Form	`13/30`
Decimal Form	`0.433333`
Percentage	`43.3333%`

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Frequently Asked Questions

What is 390/900 in simplest form?

390/900 simplified to lowest terms is 13/30.

What is the GCD (GCF) of 390 and 900?

The Greatest Common Divisor (GCD) of 390 and 900 is 30.

What are equivalent fractions to 390/900?

Equivalent fractions to 390/900 include 26/60, 39/90, and 52/120.