What is 96/400 Simplified? (Reduce 96/400 to Lowest Terms: 6/25)

Exact Answer

96/400 = 6/25

Simplified Fraction

6/25

Mixed Number

Proper (6/25)

Decimal Value

0.24

Percentage

24%

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Step-by-Step Solution: 96/400 = 6/25

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 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD(96, 400) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (96) and denominator (400) by 16.

96 ÷ 16/400 ÷ 16 = 6/25

Visual Representation

The diagram below illustrates Simplify 96/400 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/25`
Mixed Number Form	`6/25`
Decimal Form	`0.24`
Percentage	`24%`

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Frequently Asked Questions

What is 96/400 in simplest form?

96/400 simplified to lowest terms is 6/25.

What is the GCD (GCF) of 96 and 400?

The Greatest Common Divisor (GCD) of 96 and 400 is 16.

What are equivalent fractions to 96/400?

Equivalent fractions to 96/400 include 12/50, 18/75, and 24/100.