What is 1000/3200 Simplified? (Reduce 1000/3200 to Lowest Terms: 5/16)

Exact Answer

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Problem: Simplify 1000/3200 to Lowest Terms
Formula / Expression: 1000/3200 = 5/16
Final Answer: 5/16
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
• Factors of 3200: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128
Working: GCD(1000, 3200) = 200

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 200. Divide both the numerator (1000) and denominator (3200) by 200.
Working: 1000 ÷ 200/3200 ÷ 200 = 5/16

Key Values:
- Simplified Fraction: 5/16
- Mixed Number Form: 5/16
- Decimal Value: 0.3125
- Percentage: 31.25%

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Solved with FractionsCalc:
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1000/3200 = 5/16

Simplified Fraction

5/16

Mixed Number

Proper (5/16)

Decimal Value

0.3125

Percentage

31.25%

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Step-by-Step Solution: 1000/3200 = 5/16

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
• Factors of 3200: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128

GCD(1000, 3200) = 200

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 200. Divide both the numerator (1000) and denominator (3200) by 200.

1000 ÷ 200/3200 ÷ 200 = 5/16

Visual Representation

The diagram below illustrates Simplify 1000/3200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/16`
Mixed Number Form	`5/16`
Decimal Form	`0.3125`
Percentage	`31.25%`

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Frequently Asked Questions

What is 1000/3200 in simplest form?

1000/3200 simplified to lowest terms is 5/16.

What is the GCD (GCF) of 1000 and 3200?

The Greatest Common Divisor (GCD) of 1000 and 3200 is 200.

What are equivalent fractions to 1000/3200?

Equivalent fractions to 1000/3200 include 10/32, 15/48, and 20/64.