What is 122/400 Simplified? (Reduce 122/400 to Lowest Terms: 61/200)

Exact Answer

122/400 = 61/200

Simplified Fraction

61/200

Mixed Number

Proper (61/200)

Decimal Value

0.305

Percentage

30.5%

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Step-by-Step Solution: 122/400 = 61/200

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 122: 1, 2, 61, 122
• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD(122, 400) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (122) and denominator (400) by 2.

122 ÷ 2/400 ÷ 2 = 61/200

Visual Representation

The diagram below illustrates Simplify 122/400 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`61/200`
Mixed Number Form	`61/200`
Decimal Form	`0.305`
Percentage	`30.5%`

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Frequently Asked Questions

What is 122/400 in simplest form?

122/400 simplified to lowest terms is 61/200.

What is the GCD (GCF) of 122 and 400?

The Greatest Common Divisor (GCD) of 122 and 400 is 2.

What are equivalent fractions to 122/400?

Equivalent fractions to 122/400 include 122/400, 183/600, and 244/800.