What is 96/420 Simplified? (Reduce 96/420 to Lowest Terms: 8/35)

Exact Answer

96/420 = 8/35

Simplified Fraction

8/35

Mixed Number

Proper (8/35)

Decimal Value

0.228571

Percentage

22.8571%

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Step-by-Step Solution: 96/420 = 8/35

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35

GCD(96, 420) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (96) and denominator (420) by 12.

96 ÷ 12/420 ÷ 12 = 8/35

Visual Representation

The diagram below illustrates Simplify 96/420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/35`
Mixed Number Form	`8/35`
Decimal Form	`0.228571`
Percentage	`22.8571%`

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Frequently Asked Questions

What is 96/420 in simplest form?

96/420 simplified to lowest terms is 8/35.

What is the GCD (GCF) of 96 and 420?

The Greatest Common Divisor (GCD) of 96 and 420 is 12.

What are equivalent fractions to 96/420?

Equivalent fractions to 96/420 include 16/70, 24/105, and 32/140.