What is 72/320 Simplified? (Reduce 72/320 to Lowest Terms: 9/40)

Exact Answer

72/320 = 9/40

Simplified Fraction

9/40

Mixed Number

Proper (9/40)

Decimal Value

0.225

Percentage

22.5%

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Step-by-Step Solution: 72/320 = 9/40

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD(72, 320) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (72) and denominator (320) by 8.

72 ÷ 8/320 ÷ 8 = 9/40

Visual Representation

The diagram below illustrates Simplify 72/320 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/40`
Mixed Number Form	`9/40`
Decimal Form	`0.225`
Percentage	`22.5%`

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Frequently Asked Questions

What is 72/320 in simplest form?

72/320 simplified to lowest terms is 9/40.

What is the GCD (GCF) of 72 and 320?

The Greatest Common Divisor (GCD) of 72 and 320 is 8.

What are equivalent fractions to 72/320?

Equivalent fractions to 72/320 include 18/80, 27/120, and 36/160.