What is 64/420 Simplified? (Reduce 64/420 to Lowest Terms: 16/105)

Exact Answer

64/420 = 16/105

Simplified Fraction

16/105

Mixed Number

Proper (16/105)

Decimal Value

0.152381

Percentage

15.2381%

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Step-by-Step Solution: 64/420 = 16/105

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 64: 1, 2, 4, 8, 16, 32, 64
• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35

GCD(64, 420) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (64) and denominator (420) by 4.

64 ÷ 4/420 ÷ 4 = 16/105

Visual Representation

The diagram below illustrates Simplify 64/420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`16/105`
Mixed Number Form	`16/105`
Decimal Form	`0.152381`
Percentage	`15.2381%`

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Frequently Asked Questions

What is 64/420 in simplest form?

64/420 simplified to lowest terms is 16/105.

What is the GCD (GCF) of 64 and 420?

The Greatest Common Divisor (GCD) of 64 and 420 is 4.

What are equivalent fractions to 64/420?

Equivalent fractions to 64/420 include 32/210, 48/315, and 64/420.