What is 296/900 Simplified? (Reduce 296/900 to Lowest Terms: 74/225)

Exact Answer

296/900 = 74/225

Simplified Fraction

74/225

Mixed Number

Proper (74/225)

Decimal Value

0.328889

Percentage

32.8889%

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Step-by-Step Solution: 296/900 = 74/225

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 900: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45

GCD(296, 900) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (296) and denominator (900) by 4.

296 ÷ 4/900 ÷ 4 = 74/225

Visual Representation

The diagram below illustrates Simplify 296/900 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`74/225`
Mixed Number Form	`74/225`
Decimal Form	`0.328889`
Percentage	`32.8889%`

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Frequently Asked Questions

What is 296/900 in simplest form?

296/900 simplified to lowest terms is 74/225.

What is the GCD (GCF) of 296 and 900?

The Greatest Common Divisor (GCD) of 296 and 900 is 4.

What are equivalent fractions to 296/900?

Equivalent fractions to 296/900 include 148/450, 222/675, and 296/900.