What is 120/90 Simplified? (Reduce 120/90 to Lowest Terms: 4/3)

Exact Answer

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Problem: Simplify 120/90 to Lowest Terms
Formula / Expression: 120/90 = 4/3
Final Answer: 1 1/3 (4/3)
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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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Working: GCD(120, 90) = 30

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (120) and denominator (90) by 30.
Working: 120 ÷ 30/90 ÷ 30 = 4/3

Step 3: Convert Improper Fraction to a Mixed Number
Because 4 is larger than 3, 4/3 can also be written as the mixed number 1 1/3.
Working: 4/3 = 1 1/3

Key Values:
- Simplified Fraction: 4/3
- Mixed Number Form: 1 1/3
- Decimal Value: 1.333333
- Percentage: 133.3333%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-120-90/
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120/90 = 4/3

Simplified Fraction

4/3

Mixed Number

1 1/3

Decimal Value

1.333333

Percentage

133.3333%

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Step-by-Step Solution: 120/90 = 4/3

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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

GCD(120, 90) = 30

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 30. Divide both the numerator (120) and denominator (90) by 30.

120 ÷ 30/90 ÷ 30 = 4/3

Step 3

Convert Improper Fraction to a Mixed Number

Because 4 is larger than 3, 4/3 can also be written as the mixed number 1 1/3.

4/3 = 11/3

Visual Representation

The diagram below illustrates Simplify 120/90 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/3`
Mixed Number Form	`1 1/3`
Decimal Form	`1.333333`
Percentage	`133.3333%`

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Frequently Asked Questions

What is 120/90 in simplest form?

120/90 simplified to lowest terms is 4/3.

What is the GCD (GCF) of 120 and 90?

The Greatest Common Divisor (GCD) of 120 and 90 is 30.

What are equivalent fractions to 120/90?

Equivalent fractions to 120/90 include 8/6, 12/9, and 16/12.