What is 400/460 Simplified? (Reduce 400/460 to Lowest Terms: 20/23)

Exact Answer

400/460 = 20/23

Simplified Fraction

20/23

Mixed Number

Proper (20/23)

Decimal Value

0.869565

Percentage

86.9565%

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Step-by-Step Solution: 400/460 = 20/23

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
• Factors of 460: 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD(400, 460) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (400) and denominator (460) by 20.

400 ÷ 20/460 ÷ 20 = 20/23

Visual Representation

The diagram below illustrates Simplify 400/460 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`20/23`
Mixed Number Form	`20/23`
Decimal Form	`0.869565`
Percentage	`86.9565%`

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Frequently Asked Questions

What is 400/460 in simplest form?

400/460 simplified to lowest terms is 20/23.

What is the GCD (GCF) of 400 and 460?

The Greatest Common Divisor (GCD) of 400 and 460 is 20.

What are equivalent fractions to 400/460?

Equivalent fractions to 400/460 include 40/46, 60/69, and 80/92.