What is 1440/1338 Simplified? (Reduce 1440/1338 to Lowest Terms: 240/223)

Exact Answer

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Problem: Simplify 1440/1338 to Lowest Terms
Formula / Expression: 1440/1338 = 240/223
Final Answer: 1 17/223 (240/223)
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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 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 1338: 1, 2, 3, 6, 223, 446, 669, 1338
Working: GCD(1440, 1338) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (1440) and denominator (1338) by 6.
Working: 1440 ÷ 6/1338 ÷ 6 = 240/223

Step 3: Convert Improper Fraction to a Mixed Number
Because 240 is larger than 223, 240/223 can also be written as the mixed number 1 17/223.
Working: 240/223 = 1 17/223

Key Values:
- Simplified Fraction: 240/223
- Mixed Number Form: 1 17/223
- Decimal Value: 1.076233
- Percentage: 107.6233%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-1338/
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1440/1338 = 240/223

Simplified Fraction

240/223

Mixed Number

1 17/223

Decimal Value

1.076233

Percentage

107.6233%

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Step-by-Step Solution: 1440/1338 = 240/223

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 1338: 1, 2, 3, 6, 223, 446, 669, 1338

GCD(1440, 1338) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (1440) and denominator (1338) by 6.

1440 ÷ 6/1338 ÷ 6 = 240/223

Step 3

Convert Improper Fraction to a Mixed Number

Because 240 is larger than 223, 240/223 can also be written as the mixed number 1 17/223.

240/223 = 117/223

Visual Representation

The diagram below illustrates Simplify 1440/1338 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`240/223`
Mixed Number Form	`1 17/223`
Decimal Form	`1.076233`
Percentage	`107.6233%`

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Frequently Asked Questions

What is 1440/1338 in simplest form?

1440/1338 simplified to lowest terms is 240/223.

What is the GCD (GCF) of 1440 and 1338?

The Greatest Common Divisor (GCD) of 1440 and 1338 is 6.

What are equivalent fractions to 1440/1338?

Equivalent fractions to 1440/1338 include 480/446, 720/669, and 960/892.