What is 748/1152 Simplified? (Reduce 748/1152 to Lowest Terms: 187/288)

Exact Answer

748/1152 = 187/288

Simplified Fraction

187/288

Mixed Number

Proper (187/288)

Decimal Value

0.649306

Percentage

64.9306%

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Step-by-Step Solution: 748/1152 = 187/288

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 748: 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
• Factors of 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(748, 1152) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (748) and denominator (1152) by 4.

748 ÷ 4/1152 ÷ 4 = 187/288

Visual Representation

The diagram below illustrates Simplify 748/1152 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`187/288`
Mixed Number Form	`187/288`
Decimal Form	`0.649306`
Percentage	`64.9306%`

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Frequently Asked Questions

What is 748/1152 in simplest form?

748/1152 simplified to lowest terms is 187/288.

What is the GCD (GCF) of 748 and 1152?

The Greatest Common Divisor (GCD) of 748 and 1152 is 4.

What are equivalent fractions to 748/1152?

Equivalent fractions to 748/1152 include 374/576, 561/864, and 748/1152.