What is 72480/15250 Simplified? (Reduce 72480/15250 to Lowest Terms: 7248/1525)

Exact Answer

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Problem: Simplify 72480/15250 to Lowest Terms
Formula / Expression: 72480/15250 = 7248/1525
Final Answer: 4 1148/1525 (7248/1525)
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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 72480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
• Factors of 15250: 1, 2, 5, 10, 25, 50, 61, 122, 125, 250, 305, 610, 1525, 3050, 7625, 15250
Working: GCD(72480, 15250) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (72480) and denominator (15250) by 10.
Working: 72480 ÷ 10/15250 ÷ 10 = 7248/1525

Step 3: Convert Improper Fraction to a Mixed Number
Because 7248 is larger than 1525, 7248/1525 can also be written as the mixed number 4 1148/1525.
Working: 7248/1525 = 4 1148/1525

Key Values:
- Simplified Fraction: 7248/1525
- Mixed Number Form: 4 1148/1525
- Decimal Value: 4.752787
- Percentage: 475.2787%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-72480-15250/
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72480/15250 = 7248/1525

Simplified Fraction

7248/1525

Mixed Number

4 1148/1525

Decimal Value

4.752787

Percentage

475.2787%

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Step-by-Step Solution: 72480/15250 = 7248/1525

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 72480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
• Factors of 15250: 1, 2, 5, 10, 25, 50, 61, 122, 125, 250, 305, 610, 1525, 3050, 7625, 15250

GCD(72480, 15250) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (72480) and denominator (15250) by 10.

72480 ÷ 10/15250 ÷ 10 = 7248/1525

Step 3

Convert Improper Fraction to a Mixed Number

Because 7248 is larger than 1525, 7248/1525 can also be written as the mixed number 4 1148/1525.

7248/1525 = 41148/1525

Visual Representation

The diagram below illustrates Simplify 72480/15250 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7248/1525`
Mixed Number Form	`4 1148/1525`
Decimal Form	`4.752787`
Percentage	`475.2787%`

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Frequently Asked Questions

What is 72480/15250 in simplest form?

72480/15250 simplified to lowest terms is 7248/1525.

What is the GCD (GCF) of 72480 and 15250?

The Greatest Common Divisor (GCD) of 72480 and 15250 is 10.

What are equivalent fractions to 72480/15250?

Equivalent fractions to 72480/15250 include 14496/3050, 21744/4575, and 28992/6100.