What is 288/900 Simplified? (Reduce 288/900 to Lowest Terms: 8/25)

Exact Answer

288/900 = 8/25

Simplified Fraction

8/25

Mixed Number

Proper (8/25)

Decimal Value

0.32

Percentage

32%

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Step-by-Step Solution: 288/900 = 8/25

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
• Factors of 900: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45

GCD(288, 900) = 36

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 36. Divide both the numerator (288) and denominator (900) by 36.

288 ÷ 36/900 ÷ 36 = 8/25

Visual Representation

The diagram below illustrates Simplify 288/900 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/25`
Mixed Number Form	`8/25`
Decimal Form	`0.32`
Percentage	`32%`

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Frequently Asked Questions

What is 288/900 in simplest form?

288/900 simplified to lowest terms is 8/25.

What is the GCD (GCF) of 288 and 900?

The Greatest Common Divisor (GCD) of 288 and 900 is 36.

What are equivalent fractions to 288/900?

Equivalent fractions to 288/900 include 16/50, 24/75, and 32/100.