What is 30/100 Simplified? (Reduce 30/100 to Lowest Terms: 3/10)

Exact Answer

30/100 = 3/10

Simplified Fraction

3/10

Mixed Number

Proper (3/10)

Decimal Value

0.3

Percentage

30%

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Step-by-Step Solution: 30/100 = 3/10

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
• Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

GCD(30, 100) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (30) and denominator (100) by 10.

30 ÷ 10/100 ÷ 10 = 3/10

Visual Representation

The diagram below illustrates Simplify 30/100 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/10`
Mixed Number Form	`3/10`
Decimal Form	`0.3`
Percentage	`30%`

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Frequently Asked Questions

What is 30/100 in simplest form?

30/100 simplified to lowest terms is 3/10.

What is the GCD (GCF) of 30 and 100?

The Greatest Common Divisor (GCD) of 30 and 100 is 10.

What are equivalent fractions to 30/100?

Equivalent fractions to 30/100 include 6/20, 9/30, and 12/40.