What is 1024/1480 Simplified? (Reduce 1024/1480 to Lowest Terms: 128/185)

Exact Answer

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Problem: Simplify 1024/1480 to Lowest Terms
Formula / Expression: 1024/1480 = 128/185
Final Answer: 128/185
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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 1024: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
• Factors of 1480: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
Working: GCD(1024, 1480) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1024) and denominator (1480) by 8.
Working: 1024 ÷ 8/1480 ÷ 8 = 128/185

Key Values:
- Simplified Fraction: 128/185
- Mixed Number Form: 128/185
- Decimal Value: 0.691892
- Percentage: 69.1892%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1024-1480/
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1024/1480 = 128/185

Simplified Fraction

128/185

Mixed Number

Proper (128/185)

Decimal Value

0.691892

Percentage

69.1892%

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Step-by-Step Solution: 1024/1480 = 128/185

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1024: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
• Factors of 1480: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480

GCD(1024, 1480) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1024) and denominator (1480) by 8.

1024 ÷ 8/1480 ÷ 8 = 128/185

Visual Representation

The diagram below illustrates Simplify 1024/1480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`128/185`
Mixed Number Form	`128/185`
Decimal Form	`0.691892`
Percentage	`69.1892%`

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Frequently Asked Questions

What is 1024/1480 in simplest form?

1024/1480 simplified to lowest terms is 128/185.

What is the GCD (GCF) of 1024 and 1480?

The Greatest Common Divisor (GCD) of 1024 and 1480 is 8.

What are equivalent fractions to 1024/1480?

Equivalent fractions to 1024/1480 include 256/370, 384/555, and 512/740.