What is 442/1560 Simplified? (Reduce 442/1560 to Lowest Terms: 17/60)

Exact Answer

442/1560 = 17/60

Simplified Fraction

17/60

Mixed Number

Proper (17/60)

Decimal Value

0.283333

Percentage

28.3333%

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Step-by-Step Solution: 442/1560 = 17/60

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 442: 1, 2, 13, 17, 26, 34, 221, 442
• Factors of 1560: 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39

GCD(442, 1560) = 26

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 26. Divide both the numerator (442) and denominator (1560) by 26.

442 ÷ 26/1560 ÷ 26 = 17/60

Visual Representation

The diagram below illustrates Simplify 442/1560 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/60`
Mixed Number Form	`17/60`
Decimal Form	`0.283333`
Percentage	`28.3333%`

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Frequently Asked Questions

What is 442/1560 in simplest form?

442/1560 simplified to lowest terms is 17/60.

What is the GCD (GCF) of 442 and 1560?

The Greatest Common Divisor (GCD) of 442 and 1560 is 26.

What are equivalent fractions to 442/1560?

Equivalent fractions to 442/1560 include 34/120, 51/180, and 68/240.