What is 750/1700 Simplified? (Reduce 750/1700 to Lowest Terms: 15/34)

Exact Answer

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Problem: Simplify 750/1700 to Lowest Terms
Formula / Expression: 750/1700 = 15/34
Final Answer: 15/34
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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 750: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
• Factors of 1700: 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425
Working: GCD(750, 1700) = 50

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 50. Divide both the numerator (750) and denominator (1700) by 50.
Working: 750 ÷ 50/1700 ÷ 50 = 15/34

Key Values:
- Simplified Fraction: 15/34
- Mixed Number Form: 15/34
- Decimal Value: 0.441176
- Percentage: 44.1176%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-750-1700/
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750/1700 = 15/34

Simplified Fraction

15/34

Mixed Number

Proper (15/34)

Decimal Value

0.441176

Percentage

44.1176%

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Step-by-Step Solution: 750/1700 = 15/34

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 750: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
• Factors of 1700: 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425

GCD(750, 1700) = 50

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 50. Divide both the numerator (750) and denominator (1700) by 50.

750 ÷ 50/1700 ÷ 50 = 15/34

Visual Representation

The diagram below illustrates Simplify 750/1700 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`15/34`
Mixed Number Form	`15/34`
Decimal Form	`0.441176`
Percentage	`44.1176%`

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Frequently Asked Questions

What is 750/1700 in simplest form?

750/1700 simplified to lowest terms is 15/34.

What is the GCD (GCF) of 750 and 1700?

The Greatest Common Divisor (GCD) of 750 and 1700 is 50.

What are equivalent fractions to 750/1700?

Equivalent fractions to 750/1700 include 30/68, 45/102, and 60/136.