What is 434/1680 Simplified? (Reduce 434/1680 to Lowest Terms: 31/120)

Exact Answer

434/1680 = 31/120

Simplified Fraction

31/120

Mixed Number

Proper (31/120)

Decimal Value

0.258333

Percentage

25.8333%

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Step-by-Step Solution: 434/1680 = 31/120

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 434: 1, 2, 7, 14, 31, 62, 217, 434
• Factors of 1680: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24

GCD(434, 1680) = 14

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 14. Divide both the numerator (434) and denominator (1680) by 14.

434 ÷ 14/1680 ÷ 14 = 31/120

Visual Representation

The diagram below illustrates Simplify 434/1680 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/120`
Mixed Number Form	`31/120`
Decimal Form	`0.258333`
Percentage	`25.8333%`

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Frequently Asked Questions

What is 434/1680 in simplest form?

434/1680 simplified to lowest terms is 31/120.

What is the GCD (GCF) of 434 and 1680?

The Greatest Common Divisor (GCD) of 434 and 1680 is 14.

What are equivalent fractions to 434/1680?

Equivalent fractions to 434/1680 include 62/240, 93/360, and 124/480.