What is 564/1320 Simplified? (Reduce 564/1320 to Lowest Terms: 47/110)

Exact Answer

564/1320 = 47/110

Simplified Fraction

47/110

Mixed Number

Proper (47/110)

Decimal Value

0.427273

Percentage

42.7273%

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Step-by-Step Solution: 564/1320 = 47/110

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 564: 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
• Factors of 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33

GCD(564, 1320) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (564) and denominator (1320) by 12.

564 ÷ 12/1320 ÷ 12 = 47/110

Visual Representation

The diagram below illustrates Simplify 564/1320 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`47/110`
Mixed Number Form	`47/110`
Decimal Form	`0.427273`
Percentage	`42.7273%`

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Frequently Asked Questions

What is 564/1320 in simplest form?

564/1320 simplified to lowest terms is 47/110.

What is the GCD (GCF) of 564 and 1320?

The Greatest Common Divisor (GCD) of 564 and 1320 is 12.

What are equivalent fractions to 564/1320?

Equivalent fractions to 564/1320 include 94/220, 141/330, and 188/440.