What is 1320/1504 Simplified? (Reduce 1320/1504 to Lowest Terms: 165/188)

Exact Answer

1320/1504 = 165/188

Simplified Fraction

165/188

Mixed Number

Proper (165/188)

Decimal Value

0.87766

Percentage

87.766%

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Step-by-Step Solution: 1320/1504 = 165/188

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33
• Factors of 1504: 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504

GCD(1320, 1504) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1320) and denominator (1504) by 8.

1320 ÷ 8/1504 ÷ 8 = 165/188

Visual Representation

The diagram below illustrates Simplify 1320/1504 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`165/188`
Mixed Number Form	`165/188`
Decimal Form	`0.87766`
Percentage	`87.766%`

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Frequently Asked Questions

What is 1320/1504 in simplest form?

1320/1504 simplified to lowest terms is 165/188.

What is the GCD (GCF) of 1320 and 1504?

The Greatest Common Divisor (GCD) of 1320 and 1504 is 8.

What are equivalent fractions to 1320/1504?

Equivalent fractions to 1320/1504 include 330/376, 495/564, and 660/752.