What is 320/744 Simplified? (Reduce 320/744 to Lowest Terms: 40/93)

Exact Answer

320/744 = 40/93

Simplified Fraction

40/93

Mixed Number

Proper (40/93)

Decimal Value

0.430108

Percentage

43.0108%

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Step-by-Step Solution: 320/744 = 40/93

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
• Factors of 744: 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD(320, 744) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (320) and denominator (744) by 8.

320 ÷ 8/744 ÷ 8 = 40/93

Visual Representation

The diagram below illustrates Simplify 320/744 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`40/93`
Mixed Number Form	`40/93`
Decimal Form	`0.430108`
Percentage	`43.0108%`

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Frequently Asked Questions

What is 320/744 in simplest form?

320/744 simplified to lowest terms is 40/93.

What is the GCD (GCF) of 320 and 744?

The Greatest Common Divisor (GCD) of 320 and 744 is 8.

What are equivalent fractions to 320/744?

Equivalent fractions to 320/744 include 80/186, 120/279, and 160/372.