What is 242/840 Simplified? (Reduce 242/840 to Lowest Terms: 121/420)

Exact Answer

242/840 = 121/420

Simplified Fraction

121/420

Mixed Number

Proper (121/420)

Decimal Value

0.288095

Percentage

28.8095%

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Step-by-Step Solution: 242/840 = 121/420

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 242: 1, 2, 11, 22, 121, 242
• Factors of 840: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28

GCD(242, 840) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (242) and denominator (840) by 2.

242 ÷ 2/840 ÷ 2 = 121/420

Visual Representation

The diagram below illustrates Simplify 242/840 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`121/420`
Mixed Number Form	`121/420`
Decimal Form	`0.288095`
Percentage	`28.8095%`

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Frequently Asked Questions

What is 242/840 in simplest form?

242/840 simplified to lowest terms is 121/420.

What is the GCD (GCF) of 242 and 840?

The Greatest Common Divisor (GCD) of 242 and 840 is 2.

What are equivalent fractions to 242/840?

Equivalent fractions to 242/840 include 242/840, 363/1260, and 484/1680.