What is 36/30 Simplified? (Reduce 36/30 to Lowest Terms: 6/5)

Exact Answer

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Problem: Simplify 36/30 to Lowest Terms
Formula / Expression: 36/30 = 6/5
Final Answer: 1 1/5 (6/5)
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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 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
• Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Working: GCD(36, 30) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (36) and denominator (30) by 6.
Working: 36 ÷ 6/30 ÷ 6 = 6/5

Step 3: Convert Improper Fraction to a Mixed Number
Because 6 is larger than 5, 6/5 can also be written as the mixed number 1 1/5.
Working: 6/5 = 1 1/5

Key Values:
- Simplified Fraction: 6/5
- Mixed Number Form: 1 1/5
- Decimal Value: 1.2
- Percentage: 120%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-36-30/
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36/30 = 6/5

Simplified Fraction

6/5

Mixed Number

1 1/5

Decimal Value

1.2

Percentage

120%

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Step-by-Step Solution: 36/30 = 6/5

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
• Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

GCD(36, 30) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (36) and denominator (30) by 6.

36 ÷ 6/30 ÷ 6 = 6/5

Step 3

Convert Improper Fraction to a Mixed Number

Because 6 is larger than 5, 6/5 can also be written as the mixed number 1 1/5.

6/5 = 11/5

Visual Representation

The diagram below illustrates Simplify 36/30 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/5`
Mixed Number Form	`1 1/5`
Decimal Form	`1.2`
Percentage	`120%`

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Frequently Asked Questions

What is 36/30 in simplest form?

36/30 simplified to lowest terms is 6/5.

What is the GCD (GCF) of 36 and 30?

The Greatest Common Divisor (GCD) of 36 and 30 is 6.

What are equivalent fractions to 36/30?

Equivalent fractions to 36/30 include 12/10, 18/15, and 24/20.