What is 306/720 Simplified? (Reduce 306/720 to Lowest Terms: 17/40)

Exact Answer

306/720 = 17/40

Simplified Fraction

17/40

Mixed Number

Proper (17/40)

Decimal Value

0.425

Percentage

42.5%

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Step-by-Step Solution: 306/720 = 17/40

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 306: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
• Factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(306, 720) = 18

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 18. Divide both the numerator (306) and denominator (720) by 18.

306 ÷ 18/720 ÷ 18 = 17/40

Visual Representation

The diagram below illustrates Simplify 306/720 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/40`
Mixed Number Form	`17/40`
Decimal Form	`0.425`
Percentage	`42.5%`

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Frequently Asked Questions

What is 306/720 in simplest form?

306/720 simplified to lowest terms is 17/40.

What is the GCD (GCF) of 306 and 720?

The Greatest Common Divisor (GCD) of 306 and 720 is 18.

What are equivalent fractions to 306/720?

Equivalent fractions to 306/720 include 34/80, 51/120, and 68/160.