What is 1024/1200 Simplified? (Reduce 1024/1200 to Lowest Terms: 64/75)

Exact Answer

1024/1200 = 64/75

Simplified Fraction

64/75

Mixed Number

Proper (64/75)

Decimal Value

0.853333

Percentage

85.3333%

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Step-by-Step Solution: 1024/1200 = 64/75

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 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40

GCD(1024, 1200) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (1024) and denominator (1200) by 16.

1024 ÷ 16/1200 ÷ 16 = 64/75

Visual Representation

The diagram below illustrates Simplify 1024/1200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`64/75`
Mixed Number Form	`64/75`
Decimal Form	`0.853333`
Percentage	`85.3333%`

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Frequently Asked Questions

What is 1024/1200 in simplest form?

1024/1200 simplified to lowest terms is 64/75.

What is the GCD (GCF) of 1024 and 1200?

The Greatest Common Divisor (GCD) of 1024 and 1200 is 16.

What are equivalent fractions to 1024/1200?

Equivalent fractions to 1024/1200 include 128/150, 192/225, and 256/300.