What is 1508/1440 Simplified? (Reduce 1508/1440 to Lowest Terms: 377/360)

Exact Answer

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Problem: Simplify 1508/1440 to Lowest Terms
Formula / Expression: 1508/1440 = 377/360
Final Answer: 1 17/360 (377/360)
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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 1508: 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
Working: GCD(1508, 1440) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1508) and denominator (1440) by 4.
Working: 1508 ÷ 4/1440 ÷ 4 = 377/360

Step 3: Convert Improper Fraction to a Mixed Number
Because 377 is larger than 360, 377/360 can also be written as the mixed number 1 17/360.
Working: 377/360 = 1 17/360

Key Values:
- Simplified Fraction: 377/360
- Mixed Number Form: 1 17/360
- Decimal Value: 1.047222
- Percentage: 104.7222%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1508-1440/
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1508/1440 = 377/360

Simplified Fraction

377/360

Mixed Number

1 17/360

Decimal Value

1.047222

Percentage

104.7222%

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Step-by-Step Solution: 1508/1440 = 377/360

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1508: 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(1508, 1440) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1508) and denominator (1440) by 4.

1508 ÷ 4/1440 ÷ 4 = 377/360

Step 3

Convert Improper Fraction to a Mixed Number

Because 377 is larger than 360, 377/360 can also be written as the mixed number 1 17/360.

377/360 = 117/360

Visual Representation

The diagram below illustrates Simplify 1508/1440 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`377/360`
Mixed Number Form	`1 17/360`
Decimal Form	`1.047222`
Percentage	`104.7222%`

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Frequently Asked Questions

What is 1508/1440 in simplest form?

1508/1440 simplified to lowest terms is 377/360.

What is the GCD (GCF) of 1508 and 1440?

The Greatest Common Divisor (GCD) of 1508 and 1440 is 4.

What are equivalent fractions to 1508/1440?

Equivalent fractions to 1508/1440 include 754/720, 1131/1080, and 1508/1440.