What is 84/240 Simplified? (Reduce 84/240 to Lowest Terms: 7/20)

Exact Answer

84/240 = 7/20

Simplified Fraction

7/20

Mixed Number

Proper (7/20)

Decimal Value

0.35

Percentage

35%

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Step-by-Step Solution: 84/240 = 7/20

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 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48

GCD(84, 240) = 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 (240) by 12.

84 ÷ 12/240 ÷ 12 = 7/20

Visual Representation

The diagram below illustrates Simplify 84/240 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/20`
Mixed Number Form	`7/20`
Decimal Form	`0.35`
Percentage	`35%`

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Frequently Asked Questions

What is 84/240 in simplest form?

84/240 simplified to lowest terms is 7/20.

What is the GCD (GCF) of 84 and 240?

The Greatest Common Divisor (GCD) of 84 and 240 is 12.

What are equivalent fractions to 84/240?

Equivalent fractions to 84/240 include 14/40, 21/60, and 28/80.