What is 1330/1440 Simplified? (Reduce 1330/1440 to Lowest Terms: 133/144)

Exact Answer

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Problem: Simplify 1330/1440 to Lowest Terms
Formula / Expression: 1330/1440 = 133/144
Final Answer: 133/144
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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 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
Working: GCD(1330, 1440) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1330) and denominator (1440) by 10.
Working: 1330 ÷ 10/1440 ÷ 10 = 133/144

Key Values:
- Simplified Fraction: 133/144
- Mixed Number Form: 133/144
- Decimal Value: 0.923611
- Percentage: 92.3611%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1330-1440/
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1330/1440 = 133/144

Simplified Fraction

133/144

Mixed Number

Proper (133/144)

Decimal Value

0.923611

Percentage

92.3611%

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Step-by-Step Solution: 1330/1440 = 133/144

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(1330, 1440) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1330) and denominator (1440) by 10.

1330 ÷ 10/1440 ÷ 10 = 133/144

Visual Representation

The diagram below illustrates Simplify 1330/1440 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`133/144`
Mixed Number Form	`133/144`
Decimal Form	`0.923611`
Percentage	`92.3611%`

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Frequently Asked Questions

What is 1330/1440 in simplest form?

1330/1440 simplified to lowest terms is 133/144.

What is the GCD (GCF) of 1330 and 1440?

The Greatest Common Divisor (GCD) of 1330 and 1440 is 10.

What are equivalent fractions to 1330/1440?

Equivalent fractions to 1330/1440 include 266/288, 399/432, and 532/576.