What is 84/360 Simplified? (Reduce 84/360 to Lowest Terms: 7/30)

Exact Answer

84/360 = 7/30

Simplified Fraction

7/30

Mixed Number

Proper (7/30)

Decimal Value

0.233333

Percentage

23.3333%

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Step-by-Step Solution: 84/360 = 7/30

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36

GCD(84, 360) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (84) and denominator (360) by 12.

84 ÷ 12/360 ÷ 12 = 7/30

Visual Representation

The diagram below illustrates Simplify 84/360 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/30`
Mixed Number Form	`7/30`
Decimal Form	`0.233333`
Percentage	`23.3333%`

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Frequently Asked Questions

What is 84/360 in simplest form?

84/360 simplified to lowest terms is 7/30.

What is the GCD (GCF) of 84 and 360?

The Greatest Common Divisor (GCD) of 84 and 360 is 12.

What are equivalent fractions to 84/360?

Equivalent fractions to 84/360 include 14/60, 21/90, and 28/120.