What is 64/200 Simplified? (Reduce 64/200 to Lowest Terms: 8/25)

Exact Answer

64/200 = 8/25

Simplified Fraction

8/25

Mixed Number

Proper (8/25)

Decimal Value

0.32

Percentage

32%

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Step-by-Step Solution: 64/200 = 8/25

Step 1

Find the Factors of the Numerator and Denominator

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

GCD(64, 200) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (64) and denominator (200) by 8.

64 ÷ 8/200 ÷ 8 = 8/25

Visual Representation

The diagram below illustrates Simplify 64/200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/25`
Mixed Number Form	`8/25`
Decimal Form	`0.32`
Percentage	`32%`

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Frequently Asked Questions

What is 64/200 in simplest form?

64/200 simplified to lowest terms is 8/25.

What is the GCD (GCF) of 64 and 200?

The Greatest Common Divisor (GCD) of 64 and 200 is 8.

What are equivalent fractions to 64/200?

Equivalent fractions to 64/200 include 16/50, 24/75, and 32/100.