What is 150/192 Simplified? (Reduce 150/192 to Lowest Terms: 25/32)

Exact Answer

150/192 = 25/32

Simplified Fraction

25/32

Mixed Number

Proper (25/32)

Decimal Value

0.78125

Percentage

78.125%

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Step-by-Step Solution: 150/192 = 25/32

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
• Factors of 192: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

GCD(150, 192) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (150) and denominator (192) by 6.

150 ÷ 6/192 ÷ 6 = 25/32

Visual Representation

The diagram below illustrates Simplify 150/192 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/32`
Mixed Number Form	`25/32`
Decimal Form	`0.78125`
Percentage	`78.125%`

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Frequently Asked Questions

What is 150/192 in simplest form?

150/192 simplified to lowest terms is 25/32.

What is the GCD (GCF) of 150 and 192?

The Greatest Common Divisor (GCD) of 150 and 192 is 6.

What are equivalent fractions to 150/192?

Equivalent fractions to 150/192 include 50/64, 75/96, and 100/128.