What is 750/1620 Simplified? (Reduce 750/1620 to Lowest Terms: 25/54)

Exact Answer

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Problem: Simplify 750/1620 to Lowest Terms
Formula / Expression: 750/1620 = 25/54
Final Answer: 25/54
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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 1620: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45
Working: GCD(750, 1620) = 30

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (750) and denominator (1620) by 30.
Working: 750 ÷ 30/1620 ÷ 30 = 25/54

Key Values:
- Simplified Fraction: 25/54
- Mixed Number Form: 25/54
- Decimal Value: 0.462963
- Percentage: 46.2963%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-750-1620/
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750/1620 = 25/54

Simplified Fraction

25/54

Mixed Number

Proper (25/54)

Decimal Value

0.462963

Percentage

46.2963%

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Step-by-Step Solution: 750/1620 = 25/54

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 1620: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45

GCD(750, 1620) = 30

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 30. Divide both the numerator (750) and denominator (1620) by 30.

750 ÷ 30/1620 ÷ 30 = 25/54

Visual Representation

The diagram below illustrates Simplify 750/1620 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/54`
Mixed Number Form	`25/54`
Decimal Form	`0.462963`
Percentage	`46.2963%`

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Frequently Asked Questions

What is 750/1620 in simplest form?

750/1620 simplified to lowest terms is 25/54.

What is the GCD (GCF) of 750 and 1620?

The Greatest Common Divisor (GCD) of 750 and 1620 is 30.

What are equivalent fractions to 750/1620?

Equivalent fractions to 750/1620 include 50/108, 75/162, and 100/216.