What is 480/1748 Simplified? (Reduce 480/1748 to Lowest Terms: 120/437)

Exact Answer

480/1748 = 120/437

Simplified Fraction

120/437

Mixed Number

Proper (120/437)

Decimal Value

0.2746

Percentage

27.46%

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Step-by-Step Solution: 480/1748 = 120/437

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
• Factors of 1748: 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748

GCD(480, 1748) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (480) and denominator (1748) by 4.

480 ÷ 4/1748 ÷ 4 = 120/437

Visual Representation

The diagram below illustrates Simplify 480/1748 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`120/437`
Mixed Number Form	`120/437`
Decimal Form	`0.2746`
Percentage	`27.46%`

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Frequently Asked Questions

What is 480/1748 in simplest form?

480/1748 simplified to lowest terms is 120/437.

What is the GCD (GCF) of 480 and 1748?

The Greatest Common Divisor (GCD) of 480 and 1748 is 4.

What are equivalent fractions to 480/1748?

Equivalent fractions to 480/1748 include 240/874, 360/1311, and 480/1748.