What is 720/1580 Simplified? (Reduce 720/1580 to Lowest Terms: 36/79)

Exact Answer

720/1580 = 36/79

Simplified Fraction

36/79

Mixed Number

Proper (36/79)

Decimal Value

0.455696

Percentage

45.5696%

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Step-by-Step Solution: 720/1580 = 36/79

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 1580: 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580

GCD(720, 1580) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (720) and denominator (1580) by 20.

720 ÷ 20/1580 ÷ 20 = 36/79

Visual Representation

The diagram below illustrates Simplify 720/1580 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`36/79`
Mixed Number Form	`36/79`
Decimal Form	`0.455696`
Percentage	`45.5696%`

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Frequently Asked Questions

What is 720/1580 in simplest form?

720/1580 simplified to lowest terms is 36/79.

What is the GCD (GCF) of 720 and 1580?

The Greatest Common Divisor (GCD) of 720 and 1580 is 20.

What are equivalent fractions to 720/1580?

Equivalent fractions to 720/1580 include 72/158, 108/237, and 144/316.