What is 488/1760 Simplified? (Reduce 488/1760 to Lowest Terms: 61/220)

Exact Answer

488/1760 = 61/220

Simplified Fraction

61/220

Mixed Number

Proper (61/220)

Decimal Value

0.277273

Percentage

27.7273%

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Step-by-Step Solution: 488/1760 = 61/220

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 1760: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88

GCD(488, 1760) = 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 (1760) by 8.

488 ÷ 8/1760 ÷ 8 = 61/220

Visual Representation

The diagram below illustrates Simplify 488/1760 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`61/220`
Mixed Number Form	`61/220`
Decimal Form	`0.277273`
Percentage	`27.7273%`

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Frequently Asked Questions

What is 488/1760 in simplest form?

488/1760 simplified to lowest terms is 61/220.

What is the GCD (GCF) of 488 and 1760?

The Greatest Common Divisor (GCD) of 488 and 1760 is 8.

What are equivalent fractions to 488/1760?

Equivalent fractions to 488/1760 include 122/440, 183/660, and 244/880.