What is 462/840 Simplified? (Reduce 462/840 to Lowest Terms: 11/20)

Exact Answer

462/840 = 11/20

Simplified Fraction

11/20

Mixed Number

Proper (11/20)

Decimal Value

0.55

Percentage

55%

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Step-by-Step Solution: 462/840 = 11/20

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 840: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28

GCD(462, 840) = 42

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 42. Divide both the numerator (462) and denominator (840) by 42.

462 ÷ 42/840 ÷ 42 = 11/20

Visual Representation

The diagram below illustrates Simplify 462/840 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/20`
Mixed Number Form	`11/20`
Decimal Form	`0.55`
Percentage	`55%`

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Frequently Asked Questions

What is 462/840 in simplest form?

462/840 simplified to lowest terms is 11/20.

What is the GCD (GCF) of 462 and 840?

The Greatest Common Divisor (GCD) of 462 and 840 is 42.

What are equivalent fractions to 462/840?

Equivalent fractions to 462/840 include 22/40, 33/60, and 44/80.