What is 400/1152 Simplified? (Reduce 400/1152 to Lowest Terms: 25/72)

Exact Answer

400/1152 = 25/72

Simplified Fraction

25/72

Mixed Number

Proper (25/72)

Decimal Value

0.347222

Percentage

34.7222%

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Step-by-Step Solution: 400/1152 = 25/72

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
• Factors of 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(400, 1152) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (400) and denominator (1152) by 16.

400 ÷ 16/1152 ÷ 16 = 25/72

Visual Representation

The diagram below illustrates Simplify 400/1152 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/72`
Mixed Number Form	`25/72`
Decimal Form	`0.347222`
Percentage	`34.7222%`

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Frequently Asked Questions

What is 400/1152 in simplest form?

400/1152 simplified to lowest terms is 25/72.

What is the GCD (GCF) of 400 and 1152?

The Greatest Common Divisor (GCD) of 400 and 1152 is 16.

What are equivalent fractions to 400/1152?

Equivalent fractions to 400/1152 include 50/144, 75/216, and 100/288.