What is 720/2958 Simplified? (Reduce 720/2958 to Lowest Terms: 120/493)

Exact Answer

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Problem: Simplify 720/2958 to Lowest Terms
Formula / Expression: 720/2958 = 120/493
Final Answer: 120/493
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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 2958: 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958
Working: GCD(720, 2958) = 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 (2958) by 6.
Working: 720 ÷ 6/2958 ÷ 6 = 120/493

Key Values:
- Simplified Fraction: 120/493
- Mixed Number Form: 120/493
- Decimal Value: 0.243408
- Percentage: 24.3408%

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Solved with FractionsCalc:
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720/2958 = 120/493

Simplified Fraction

120/493

Mixed Number

Proper (120/493)

Decimal Value

0.243408

Percentage

24.3408%

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Step-by-Step Solution: 720/2958 = 120/493

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 2958: 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958

GCD(720, 2958) = 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 (2958) by 6.

720 ÷ 6/2958 ÷ 6 = 120/493

Visual Representation

The diagram below illustrates Simplify 720/2958 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`120/493`
Mixed Number Form	`120/493`
Decimal Form	`0.243408`
Percentage	`24.3408%`

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Frequently Asked Questions

What is 720/2958 in simplest form?

720/2958 simplified to lowest terms is 120/493.

What is the GCD (GCF) of 720 and 2958?

The Greatest Common Divisor (GCD) of 720 and 2958 is 6.

What are equivalent fractions to 720/2958?

Equivalent fractions to 720/2958 include 240/986, 360/1479, and 480/1972.