What is 530/480 Simplified? (Reduce 530/480 to Lowest Terms: 53/48)

Exact Answer

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Problem: Simplify 530/480 to Lowest Terms
Formula / Expression: 530/480 = 53/48
Final Answer: 1 5/48 (53/48)
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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 530: 1, 2, 5, 10, 53, 106, 265, 530
• Factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
Working: GCD(530, 480) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (530) and denominator (480) by 10.
Working: 530 ÷ 10/480 ÷ 10 = 53/48

Step 3: Convert Improper Fraction to a Mixed Number
Because 53 is larger than 48, 53/48 can also be written as the mixed number 1 5/48.
Working: 53/48 = 1 5/48

Key Values:
- Simplified Fraction: 53/48
- Mixed Number Form: 1 5/48
- Decimal Value: 1.104167
- Percentage: 110.4167%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-530-480/
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530/480 = 53/48

Simplified Fraction

53/48

Mixed Number

1 5/48

Decimal Value

1.104167

Percentage

110.4167%

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Step-by-Step Solution: 530/480 = 53/48

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 530: 1, 2, 5, 10, 53, 106, 265, 530
• Factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40

GCD(530, 480) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (530) and denominator (480) by 10.

530 ÷ 10/480 ÷ 10 = 53/48

Step 3

Convert Improper Fraction to a Mixed Number

Because 53 is larger than 48, 53/48 can also be written as the mixed number 1 5/48.

53/48 = 15/48

Visual Representation

The diagram below illustrates Simplify 530/480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`53/48`
Mixed Number Form	`1 5/48`
Decimal Form	`1.104167`
Percentage	`110.4167%`

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Frequently Asked Questions

What is 530/480 in simplest form?

530/480 simplified to lowest terms is 53/48.

What is the GCD (GCF) of 530 and 480?

The Greatest Common Divisor (GCD) of 530 and 480 is 10.

What are equivalent fractions to 530/480?

Equivalent fractions to 530/480 include 106/96, 159/144, and 212/192.