What is 120/62 Simplified? (Reduce 120/62 to Lowest Terms: 60/31)

Exact Answer

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Problem: Simplify 120/62 to Lowest Terms
Formula / Expression: 120/62 = 60/31
Final Answer: 1 29/31 (60/31)
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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 62: 1, 2, 31, 62
Working: GCD(120, 62) = 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 (62) by 2.
Working: 120 ÷ 2/62 ÷ 2 = 60/31

Step 3: Convert Improper Fraction to a Mixed Number
Because 60 is larger than 31, 60/31 can also be written as the mixed number 1 29/31.
Working: 60/31 = 1 29/31

Key Values:
- Simplified Fraction: 60/31
- Mixed Number Form: 1 29/31
- Decimal Value: 1.935484
- Percentage: 193.5484%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-120-62/
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120/62 = 60/31

Simplified Fraction

60/31

Mixed Number

1 29/31

Decimal Value

1.935484

Percentage

193.5484%

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Step-by-Step Solution: 120/62 = 60/31

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 62: 1, 2, 31, 62

GCD(120, 62) = 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 (62) by 2.

120 ÷ 2/62 ÷ 2 = 60/31

Step 3

Convert Improper Fraction to a Mixed Number

Because 60 is larger than 31, 60/31 can also be written as the mixed number 1 29/31.

60/31 = 129/31

Visual Representation

The diagram below illustrates Simplify 120/62 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`60/31`
Mixed Number Form	`1 29/31`
Decimal Form	`1.935484`
Percentage	`193.5484%`

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Frequently Asked Questions

What is 120/62 in simplest form?

120/62 simplified to lowest terms is 60/31.

What is the GCD (GCF) of 120 and 62?

The Greatest Common Divisor (GCD) of 120 and 62 is 2.

What are equivalent fractions to 120/62?

Equivalent fractions to 120/62 include 120/62, 180/93, and 240/124.