What is 120/94 Simplified? (Reduce 120/94 to Lowest Terms: 60/47)

Exact Answer

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Problem: Simplify 120/94 to Lowest Terms
Formula / Expression: 120/94 = 60/47
Final Answer: 1 13/47 (60/47)
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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 94: 1, 2, 47, 94
Working: GCD(120, 94) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (120) and denominator (94) by 2.
Working: 120 ÷ 2/94 ÷ 2 = 60/47

Step 3: Convert Improper Fraction to a Mixed Number
Because 60 is larger than 47, 60/47 can also be written as the mixed number 1 13/47.
Working: 60/47 = 1 13/47

Key Values:
- Simplified Fraction: 60/47
- Mixed Number Form: 1 13/47
- Decimal Value: 1.276596
- Percentage: 127.6596%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-120-94/
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120/94 = 60/47

Simplified Fraction

60/47

Mixed Number

1 13/47

Decimal Value

1.276596

Percentage

127.6596%

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Step-by-Step Solution: 120/94 = 60/47

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 94: 1, 2, 47, 94

GCD(120, 94) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (120) and denominator (94) by 2.

120 ÷ 2/94 ÷ 2 = 60/47

Step 3

Convert Improper Fraction to a Mixed Number

Because 60 is larger than 47, 60/47 can also be written as the mixed number 1 13/47.

60/47 = 113/47

Visual Representation

The diagram below illustrates Simplify 120/94 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`60/47`
Mixed Number Form	`1 13/47`
Decimal Form	`1.276596`
Percentage	`127.6596%`

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Frequently Asked Questions

What is 120/94 in simplest form?

120/94 simplified to lowest terms is 60/47.

What is the GCD (GCF) of 120 and 94?

The Greatest Common Divisor (GCD) of 120 and 94 is 2.

What are equivalent fractions to 120/94?

Equivalent fractions to 120/94 include 120/94, 180/141, and 240/188.