What is 720/654 Simplified? (Reduce 720/654 to Lowest Terms: 120/109)

Exact Answer

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Problem: Simplify 720/654 to Lowest Terms
Formula / Expression: 720/654 = 120/109
Final Answer: 1 11/109 (120/109)
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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 654: 1, 2, 3, 6, 109, 218, 327, 654
Working: GCD(720, 654) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (720) and denominator (654) by 6.
Working: 720 ÷ 6/654 ÷ 6 = 120/109

Step 3: Convert Improper Fraction to a Mixed Number
Because 120 is larger than 109, 120/109 can also be written as the mixed number 1 11/109.
Working: 120/109 = 1 11/109

Key Values:
- Simplified Fraction: 120/109
- Mixed Number Form: 1 11/109
- Decimal Value: 1.100917
- Percentage: 110.0917%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-720-654/
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720/654 = 120/109

Simplified Fraction

120/109

Mixed Number

1 11/109

Decimal Value

1.100917

Percentage

110.0917%

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Step-by-Step Solution: 720/654 = 120/109

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 654: 1, 2, 3, 6, 109, 218, 327, 654

GCD(720, 654) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (720) and denominator (654) by 6.

720 ÷ 6/654 ÷ 6 = 120/109

Step 3

Convert Improper Fraction to a Mixed Number

Because 120 is larger than 109, 120/109 can also be written as the mixed number 1 11/109.

120/109 = 111/109

Visual Representation

The diagram below illustrates Simplify 720/654 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`120/109`
Mixed Number Form	`1 11/109`
Decimal Form	`1.100917`
Percentage	`110.0917%`

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Frequently Asked Questions

What is 720/654 in simplest form?

720/654 simplified to lowest terms is 120/109.

What is the GCD (GCF) of 720 and 654?

The Greatest Common Divisor (GCD) of 720 and 654 is 6.

What are equivalent fractions to 720/654?

Equivalent fractions to 720/654 include 240/218, 360/327, and 480/436.