What is 1008/1750 Simplified? (Reduce 1008/1750 to Lowest Terms: 72/125)

Exact Answer

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Problem: Simplify 1008/1750 to Lowest Terms
Formula / Expression: 1008/1750 = 72/125
Final Answer: 72/125
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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 1008: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36
• Factors of 1750: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750
Working: GCD(1008, 1750) = 14

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (1008) and denominator (1750) by 14.
Working: 1008 ÷ 14/1750 ÷ 14 = 72/125

Key Values:
- Simplified Fraction: 72/125
- Mixed Number Form: 72/125
- Decimal Value: 0.576
- Percentage: 57.6%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1008-1750/
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1008/1750 = 72/125

Simplified Fraction

72/125

Mixed Number

Proper (72/125)

Decimal Value

0.576

Percentage

57.6%

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Step-by-Step Solution: 1008/1750 = 72/125

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1008: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36
• Factors of 1750: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750

GCD(1008, 1750) = 14

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 14. Divide both the numerator (1008) and denominator (1750) by 14.

1008 ÷ 14/1750 ÷ 14 = 72/125

Visual Representation

The diagram below illustrates Simplify 1008/1750 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`72/125`
Mixed Number Form	`72/125`
Decimal Form	`0.576`
Percentage	`57.6%`

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Frequently Asked Questions

What is 1008/1750 in simplest form?

1008/1750 simplified to lowest terms is 72/125.

What is the GCD (GCF) of 1008 and 1750?

The Greatest Common Divisor (GCD) of 1008 and 1750 is 14.

What are equivalent fractions to 1008/1750?

Equivalent fractions to 1008/1750 include 144/250, 216/375, and 288/500.