What is 462/720 Simplified? (Reduce 462/720 to Lowest Terms: 77/120)

Exact Answer

462/720 = 77/120

Simplified Fraction

77/120

Mixed Number

Proper (77/120)

Decimal Value

0.641667

Percentage

64.1667%

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Step-by-Step Solution: 462/720 = 77/120

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 462: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
• Factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(462, 720) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (462) and denominator (720) by 6.

462 ÷ 6/720 ÷ 6 = 77/120

Visual Representation

The diagram below illustrates Simplify 462/720 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`77/120`
Mixed Number Form	`77/120`
Decimal Form	`0.641667`
Percentage	`64.1667%`

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Frequently Asked Questions

What is 462/720 in simplest form?

462/720 simplified to lowest terms is 77/120.

What is the GCD (GCF) of 462 and 720?

The Greatest Common Divisor (GCD) of 462 and 720 is 6.

What are equivalent fractions to 462/720?

Equivalent fractions to 462/720 include 154/240, 231/360, and 308/480.