What is 72/336 Simplified? (Reduce 72/336 to Lowest Terms: 3/14)

Exact Answer

72/336 = 3/14

Simplified Fraction

3/14

Mixed Number

Proper (3/14)

Decimal Value

0.214286

Percentage

21.4286%

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Step-by-Step Solution: 72/336 = 3/14

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 336: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56

GCD(72, 336) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (72) and denominator (336) by 24.

72 ÷ 24/336 ÷ 24 = 3/14

Visual Representation

The diagram below illustrates Simplify 72/336 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/14`
Mixed Number Form	`3/14`
Decimal Form	`0.214286`
Percentage	`21.4286%`

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Frequently Asked Questions

What is 72/336 in simplest form?

72/336 simplified to lowest terms is 3/14.

What is the GCD (GCF) of 72 and 336?

The Greatest Common Divisor (GCD) of 72 and 336 is 24.

What are equivalent fractions to 72/336?

Equivalent fractions to 72/336 include 6/28, 9/42, and 12/56.