What is 750/3048 Simplified? (Reduce 750/3048 to Lowest Terms: 125/508)

Exact Answer

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Problem: Simplify 750/3048 to Lowest Terms
Formula / Expression: 750/3048 = 125/508
Final Answer: 125/508
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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 3048: 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048
Working: GCD(750, 3048) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (750) and denominator (3048) by 6.
Working: 750 ÷ 6/3048 ÷ 6 = 125/508

Key Values:
- Simplified Fraction: 125/508
- Mixed Number Form: 125/508
- Decimal Value: 0.246063
- Percentage: 24.6063%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-750-3048/
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750/3048 = 125/508

Simplified Fraction

125/508

Mixed Number

Proper (125/508)

Decimal Value

0.246063

Percentage

24.6063%

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Step-by-Step Solution: 750/3048 = 125/508

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 3048: 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048

GCD(750, 3048) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (750) and denominator (3048) by 6.

750 ÷ 6/3048 ÷ 6 = 125/508

Visual Representation

The diagram below illustrates Simplify 750/3048 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`125/508`
Mixed Number Form	`125/508`
Decimal Form	`0.246063`
Percentage	`24.6063%`

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Frequently Asked Questions

What is 750/3048 in simplest form?

750/3048 simplified to lowest terms is 125/508.

What is the GCD (GCF) of 750 and 3048?

The Greatest Common Divisor (GCD) of 750 and 3048 is 6.

What are equivalent fractions to 750/3048?

Equivalent fractions to 750/3048 include 250/1016, 375/1524, and 500/2032.