What is 1350/1080 Simplified? (Reduce 1350/1080 to Lowest Terms: 5/4)

Exact Answer

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Problem: Simplify 1350/1080 to Lowest Terms
Formula / Expression: 1350/1080 = 5/4
Final Answer: 1 1/4 (5/4)
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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 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
• Factors of 1080: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30
Working: GCD(1350, 1080) = 270

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 270. Divide both the numerator (1350) and denominator (1080) by 270.
Working: 1350 ÷ 270/1080 ÷ 270 = 5/4

Step 3: Convert Improper Fraction to a Mixed Number
Because 5 is larger than 4, 5/4 can also be written as the mixed number 1 1/4.
Working: 5/4 = 1 1/4

Key Values:
- Simplified Fraction: 5/4
- Mixed Number Form: 1 1/4
- Decimal Value: 1.25
- Percentage: 125%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1350-1080/
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1350/1080 = 5/4

Simplified Fraction

5/4

Mixed Number

1 1/4

Decimal Value

1.25

Percentage

125%

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Step-by-Step Solution: 1350/1080 = 5/4

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
• Factors of 1080: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30

GCD(1350, 1080) = 270

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 270. Divide both the numerator (1350) and denominator (1080) by 270.

1350 ÷ 270/1080 ÷ 270 = 5/4

Step 3

Convert Improper Fraction to a Mixed Number

Because 5 is larger than 4, 5/4 can also be written as the mixed number 1 1/4.

5/4 = 11/4

Visual Representation

The diagram below illustrates Simplify 1350/1080 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/4`
Mixed Number Form	`1 1/4`
Decimal Form	`1.25`
Percentage	`125%`

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Frequently Asked Questions

What is 1350/1080 in simplest form?

1350/1080 simplified to lowest terms is 5/4.

What is the GCD (GCF) of 1350 and 1080?

The Greatest Common Divisor (GCD) of 1350 and 1080 is 270.

What are equivalent fractions to 1350/1080?

Equivalent fractions to 1350/1080 include 10/8, 15/12, and 20/16.