What is 40/192 Simplified? (Reduce 40/192 to Lowest Terms: 5/24)

Exact Answer

40/192 = 5/24

Simplified Fraction

5/24

Mixed Number

Proper (5/24)

Decimal Value

0.208333

Percentage

20.8333%

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Step-by-Step Solution: 40/192 = 5/24

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
• Factors of 192: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

GCD(40, 192) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (40) and denominator (192) by 8.

40 ÷ 8/192 ÷ 8 = 5/24

Visual Representation

The diagram below illustrates Simplify 40/192 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/24`
Mixed Number Form	`5/24`
Decimal Form	`0.208333`
Percentage	`20.8333%`

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Frequently Asked Questions

What is 40/192 in simplest form?

40/192 simplified to lowest terms is 5/24.

What is the GCD (GCF) of 40 and 192?

The Greatest Common Divisor (GCD) of 40 and 192 is 8.

What are equivalent fractions to 40/192?

Equivalent fractions to 40/192 include 10/48, 15/72, and 20/96.