What is 168/384 Simplified? (Reduce 168/384 to Lowest Terms: 7/16)

Exact Answer

168/384 = 7/16

Simplified Fraction

7/16

Mixed Number

Proper (7/16)

Decimal Value

0.4375

Percentage

43.75%

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Step-by-Step Solution: 168/384 = 7/16

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
• Factors of 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD(168, 384) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (168) and denominator (384) by 24.

168 ÷ 24/384 ÷ 24 = 7/16

Visual Representation

The diagram below illustrates Simplify 168/384 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/16`
Mixed Number Form	`7/16`
Decimal Form	`0.4375`
Percentage	`43.75%`

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Frequently Asked Questions

What is 168/384 in simplest form?

168/384 simplified to lowest terms is 7/16.

What is the GCD (GCF) of 168 and 384?

The Greatest Common Divisor (GCD) of 168 and 384 is 24.

What are equivalent fractions to 168/384?

Equivalent fractions to 168/384 include 14/32, 21/48, and 28/64.