What is 720/550 Simplified? (Reduce 720/550 to Lowest Terms: 72/55)

Exact Answer

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Problem: Simplify 720/550 to Lowest Terms
Formula / Expression: 720/550 = 72/55
Final Answer: 1 17/55 (72/55)
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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 550: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Working: GCD(720, 550) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (720) and denominator (550) by 10.
Working: 720 ÷ 10/550 ÷ 10 = 72/55

Step 3: Convert Improper Fraction to a Mixed Number
Because 72 is larger than 55, 72/55 can also be written as the mixed number 1 17/55.
Working: 72/55 = 1 17/55

Key Values:
- Simplified Fraction: 72/55
- Mixed Number Form: 1 17/55
- Decimal Value: 1.309091
- Percentage: 130.9091%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-720-550/
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720/550 = 72/55

Simplified Fraction

72/55

Mixed Number

1 17/55

Decimal Value

1.309091

Percentage

130.9091%

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Step-by-Step Solution: 720/550 = 72/55

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 550: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD(720, 550) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (720) and denominator (550) by 10.

720 ÷ 10/550 ÷ 10 = 72/55

Step 3

Convert Improper Fraction to a Mixed Number

Because 72 is larger than 55, 72/55 can also be written as the mixed number 1 17/55.

72/55 = 117/55

Visual Representation

The diagram below illustrates Simplify 720/550 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`72/55`
Mixed Number Form	`1 17/55`
Decimal Form	`1.309091`
Percentage	`130.9091%`

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Frequently Asked Questions

What is 720/550 in simplest form?

720/550 simplified to lowest terms is 72/55.

What is the GCD (GCF) of 720 and 550?

The Greatest Common Divisor (GCD) of 720 and 550 is 10.

What are equivalent fractions to 720/550?

Equivalent fractions to 720/550 include 144/110, 216/165, and 288/220.