What is 296/512 Simplified? (Reduce 296/512 to Lowest Terms: 37/64)

Exact Answer

296/512 = 37/64

Simplified Fraction

37/64

Mixed Number

Proper (37/64)

Decimal Value

0.578125

Percentage

57.8125%

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Step-by-Step Solution: 296/512 = 37/64

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 296: 1, 2, 4, 8, 37, 74, 148, 296
• Factors of 512: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD(296, 512) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (296) and denominator (512) by 8.

296 ÷ 8/512 ÷ 8 = 37/64

Visual Representation

The diagram below illustrates Simplify 296/512 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`37/64`
Mixed Number Form	`37/64`
Decimal Form	`0.578125`
Percentage	`57.8125%`

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Frequently Asked Questions

What is 296/512 in simplest form?

296/512 simplified to lowest terms is 37/64.

What is the GCD (GCF) of 296 and 512?

The Greatest Common Divisor (GCD) of 296 and 512 is 8.

What are equivalent fractions to 296/512?

Equivalent fractions to 296/512 include 74/128, 111/192, and 148/256.