What is 120/54 Simplified? (Reduce 120/54 to Lowest Terms: 20/9)

Exact Answer

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Problem: Simplify 120/54 to Lowest Terms
Formula / Expression: 120/54 = 20/9
Final Answer: 2 2/9 (20/9)
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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 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
• Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
Working: GCD(120, 54) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (120) and denominator (54) by 6.
Working: 120 ÷ 6/54 ÷ 6 = 20/9

Step 3: Convert Improper Fraction to a Mixed Number
Because 20 is larger than 9, 20/9 can also be written as the mixed number 2 2/9.
Working: 20/9 = 2 2/9

Key Values:
- Simplified Fraction: 20/9
- Mixed Number Form: 2 2/9
- Decimal Value: 2.222222
- Percentage: 222.2222%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-120-54/
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120/54 = 20/9

Simplified Fraction

20/9

Mixed Number

2 2/9

Decimal Value

2.222222

Percentage

222.2222%

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Step-by-Step Solution: 120/54 = 20/9

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
• Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

GCD(120, 54) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (120) and denominator (54) by 6.

120 ÷ 6/54 ÷ 6 = 20/9

Step 3

Convert Improper Fraction to a Mixed Number

Because 20 is larger than 9, 20/9 can also be written as the mixed number 2 2/9.

20/9 = 22/9

Visual Representation

The diagram below illustrates Simplify 120/54 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`20/9`
Mixed Number Form	`2 2/9`
Decimal Form	`2.222222`
Percentage	`222.2222%`

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Frequently Asked Questions

What is 120/54 in simplest form?

120/54 simplified to lowest terms is 20/9.

What is the GCD (GCF) of 120 and 54?

The Greatest Common Divisor (GCD) of 120 and 54 is 6.

What are equivalent fractions to 120/54?

Equivalent fractions to 120/54 include 40/18, 60/27, and 80/36.