What is 210/300 Simplified? (Reduce 210/300 to Lowest Terms: 7/10)

Exact Answer

210/300 = 7/10

Simplified Fraction

7/10

Mixed Number

Proper (7/10)

Decimal Value

0.7

Percentage

70%

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Step-by-Step Solution: 210/300 = 7/10

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
• Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100

GCD(210, 300) = 30

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 30. Divide both the numerator (210) and denominator (300) by 30.

210 ÷ 30/300 ÷ 30 = 7/10

Visual Representation

The diagram below illustrates Simplify 210/300 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/10`
Mixed Number Form	`7/10`
Decimal Form	`0.7`
Percentage	`70%`

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Frequently Asked Questions

What is 210/300 in simplest form?

210/300 simplified to lowest terms is 7/10.

What is the GCD (GCF) of 210 and 300?

The Greatest Common Divisor (GCD) of 210 and 300 is 30.

What are equivalent fractions to 210/300?

Equivalent fractions to 210/300 include 14/20, 21/30, and 28/40.