What is 200/320 Simplified? (Reduce 200/320 to Lowest Terms: 5/8)

Exact Answer

200/320 = 5/8

Simplified Fraction

5/8

Mixed Number

Proper (5/8)

Decimal Value

0.625

Percentage

62.5%

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Step-by-Step Solution: 200/320 = 5/8

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
• Factors of 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD(200, 320) = 40

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 40. Divide both the numerator (200) and denominator (320) by 40.

200 ÷ 40/320 ÷ 40 = 5/8

Visual Representation

The diagram below illustrates Simplify 200/320 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/8`
Mixed Number Form	`5/8`
Decimal Form	`0.625`
Percentage	`62.5%`

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Frequently Asked Questions

What is 200/320 in simplest form?

200/320 simplified to lowest terms is 5/8.

What is the GCD (GCF) of 200 and 320?

The Greatest Common Divisor (GCD) of 200 and 320 is 40.

What are equivalent fractions to 200/320?

Equivalent fractions to 200/320 include 10/16, 15/24, and 20/32.