What is 752/1152 Simplified? (Reduce 752/1152 to Lowest Terms: 47/72)

Exact Answer

752/1152 = 47/72

Simplified Fraction

47/72

Mixed Number

Proper (47/72)

Decimal Value

0.652778

Percentage

65.2778%

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Step-by-Step Solution: 752/1152 = 47/72

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 752: 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
• Factors of 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(752, 1152) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (752) and denominator (1152) by 16.

752 ÷ 16/1152 ÷ 16 = 47/72

Visual Representation

The diagram below illustrates Simplify 752/1152 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`47/72`
Mixed Number Form	`47/72`
Decimal Form	`0.652778`
Percentage	`65.2778%`

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Frequently Asked Questions

What is 752/1152 in simplest form?

752/1152 simplified to lowest terms is 47/72.

What is the GCD (GCF) of 752 and 1152?

The Greatest Common Divisor (GCD) of 752 and 1152 is 16.

What are equivalent fractions to 752/1152?

Equivalent fractions to 752/1152 include 94/144, 141/216, and 188/288.