What is 748/1632 Simplified? (Reduce 748/1632 to Lowest Terms: 11/24)

Exact Answer

748/1632 = 11/24

Simplified Fraction

11/24

Mixed Number

Proper (11/24)

Decimal Value

0.458333

Percentage

45.8333%

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Step-by-Step Solution: 748/1632 = 11/24

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 1632: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96

GCD(748, 1632) = 68

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 68. Divide both the numerator (748) and denominator (1632) by 68.

748 ÷ 68/1632 ÷ 68 = 11/24

Visual Representation

The diagram below illustrates Simplify 748/1632 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/24`
Mixed Number Form	`11/24`
Decimal Form	`0.458333`
Percentage	`45.8333%`

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Frequently Asked Questions

What is 748/1632 in simplest form?

748/1632 simplified to lowest terms is 11/24.

What is the GCD (GCF) of 748 and 1632?

The Greatest Common Divisor (GCD) of 748 and 1632 is 68.

What are equivalent fractions to 748/1632?

Equivalent fractions to 748/1632 include 22/48, 33/72, and 44/96.