What is 1504/850 Simplified? (Reduce 1504/850 to Lowest Terms: 752/425)

Exact Answer

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Problem: Simplify 1504/850 to Lowest Terms
Formula / Expression: 1504/850 = 752/425
Final Answer: 1 327/425 (752/425)
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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 1504: 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
• Factors of 850: 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Working: GCD(1504, 850) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1504) and denominator (850) by 2.
Working: 1504 ÷ 2/850 ÷ 2 = 752/425

Step 3: Convert Improper Fraction to a Mixed Number
Because 752 is larger than 425, 752/425 can also be written as the mixed number 1 327/425.
Working: 752/425 = 1 327/425

Key Values:
- Simplified Fraction: 752/425
- Mixed Number Form: 1 327/425
- Decimal Value: 1.769412
- Percentage: 176.9412%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1504-850/
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1504/850 = 752/425

Simplified Fraction

752/425

Mixed Number

1 327/425

Decimal Value

1.769412

Percentage

176.9412%

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Step-by-Step Solution: 1504/850 = 752/425

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1504: 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
• Factors of 850: 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

GCD(1504, 850) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1504) and denominator (850) by 2.

1504 ÷ 2/850 ÷ 2 = 752/425

Step 3

Convert Improper Fraction to a Mixed Number

Because 752 is larger than 425, 752/425 can also be written as the mixed number 1 327/425.

752/425 = 1327/425

Visual Representation

The diagram below illustrates Simplify 1504/850 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`752/425`
Mixed Number Form	`1 327/425`
Decimal Form	`1.769412`
Percentage	`176.9412%`

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Frequently Asked Questions

What is 1504/850 in simplest form?

1504/850 simplified to lowest terms is 752/425.

What is the GCD (GCF) of 1504 and 850?

The Greatest Common Divisor (GCD) of 1504 and 850 is 2.

What are equivalent fractions to 1504/850?

Equivalent fractions to 1504/850 include 1504/850, 2256/1275, and 3008/1700.