What is 426/1560 Simplified? (Reduce 426/1560 to Lowest Terms: 71/260)

Exact Answer

426/1560 = 71/260

Simplified Fraction

71/260

Mixed Number

Proper (71/260)

Decimal Value

0.273077

Percentage

27.3077%

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Step-by-Step Solution: 426/1560 = 71/260

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 426: 1, 2, 3, 6, 71, 142, 213, 426
• Factors of 1560: 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39

GCD(426, 1560) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (426) and denominator (1560) by 6.

426 ÷ 6/1560 ÷ 6 = 71/260

Visual Representation

The diagram below illustrates Simplify 426/1560 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`71/260`
Mixed Number Form	`71/260`
Decimal Form	`0.273077`
Percentage	`27.3077%`

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Frequently Asked Questions

What is 426/1560 in simplest form?

426/1560 simplified to lowest terms is 71/260.

What is the GCD (GCF) of 426 and 1560?

The Greatest Common Divisor (GCD) of 426 and 1560 is 6.

What are equivalent fractions to 426/1560?

Equivalent fractions to 426/1560 include 142/520, 213/780, and 284/1040.