What is 488/1664 Simplified? (Reduce 488/1664 to Lowest Terms: 61/208)

Exact Answer

488/1664 = 61/208

Simplified Fraction

61/208

Mixed Number

Proper (61/208)

Decimal Value

0.293269

Percentage

29.3269%

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Step-by-Step Solution: 488/1664 = 61/208

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 488: 1, 2, 4, 8, 61, 122, 244, 488
• Factors of 1664: 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664

GCD(488, 1664) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (488) and denominator (1664) by 8.

488 ÷ 8/1664 ÷ 8 = 61/208

Visual Representation

The diagram below illustrates Simplify 488/1664 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`61/208`
Mixed Number Form	`61/208`
Decimal Form	`0.293269`
Percentage	`29.3269%`

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Frequently Asked Questions

What is 488/1664 in simplest form?

488/1664 simplified to lowest terms is 61/208.

What is the GCD (GCF) of 488 and 1664?

The Greatest Common Divisor (GCD) of 488 and 1664 is 8.

What are equivalent fractions to 488/1664?

Equivalent fractions to 488/1664 include 122/416, 183/624, and 244/832.