What is 60/210 Simplified? (Reduce 60/210 to Lowest Terms: 2/7)

Exact Answer

60/210 = 2/7

Simplified Fraction

2/7

Mixed Number

Proper (2/7)

Decimal Value

0.285714

Percentage

28.5714%

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Step-by-Step Solution: 60/210 = 2/7

Step 1

Find the Factors of the Numerator and Denominator

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

GCD(60, 210) = 30

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 30. Divide both the numerator (60) and denominator (210) by 30.

60 ÷ 30/210 ÷ 30 = 2/7

Visual Representation

The diagram below illustrates Simplify 60/210 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`2/7`
Mixed Number Form	`2/7`
Decimal Form	`0.285714`
Percentage	`28.5714%`

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Frequently Asked Questions

What is 60/210 in simplest form?

60/210 simplified to lowest terms is 2/7.

What is the GCD (GCF) of 60 and 210?

The Greatest Common Divisor (GCD) of 60 and 210 is 30.

What are equivalent fractions to 60/210?

Equivalent fractions to 60/210 include 4/14, 6/21, and 8/28.