What is 720/652 Simplified? (Reduce 720/652 to Lowest Terms: 180/163)

Exact Answer

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Problem: Simplify 720/652 to Lowest Terms
Formula / Expression: 720/652 = 180/163
Final Answer: 1 17/163 (180/163)
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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 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 652: 1, 2, 4, 163, 326, 652
Working: GCD(720, 652) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (720) and denominator (652) by 4.
Working: 720 ÷ 4/652 ÷ 4 = 180/163

Step 3: Convert Improper Fraction to a Mixed Number
Because 180 is larger than 163, 180/163 can also be written as the mixed number 1 17/163.
Working: 180/163 = 1 17/163

Key Values:
- Simplified Fraction: 180/163
- Mixed Number Form: 1 17/163
- Decimal Value: 1.104294
- Percentage: 110.4294%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-720-652/
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720/652 = 180/163

Simplified Fraction

180/163

Mixed Number

1 17/163

Decimal Value

1.104294

Percentage

110.4294%

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Step-by-Step Solution: 720/652 = 180/163

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 652: 1, 2, 4, 163, 326, 652

GCD(720, 652) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (720) and denominator (652) by 4.

720 ÷ 4/652 ÷ 4 = 180/163

Step 3

Convert Improper Fraction to a Mixed Number

Because 180 is larger than 163, 180/163 can also be written as the mixed number 1 17/163.

180/163 = 117/163

Visual Representation

The diagram below illustrates Simplify 720/652 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`180/163`
Mixed Number Form	`1 17/163`
Decimal Form	`1.104294`
Percentage	`110.4294%`

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Frequently Asked Questions

What is 720/652 in simplest form?

720/652 simplified to lowest terms is 180/163.

What is the GCD (GCF) of 720 and 652?

The Greatest Common Divisor (GCD) of 720 and 652 is 4.

What are equivalent fractions to 720/652?

Equivalent fractions to 720/652 include 360/326, 540/489, and 720/652.