What is 298/400 Simplified? (Reduce 298/400 to Lowest Terms: 149/200)

Exact Answer

298/400 = 149/200

Simplified Fraction

149/200

Mixed Number

Proper (149/200)

Decimal Value

0.745

Percentage

74.5%

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Step-by-Step Solution: 298/400 = 149/200

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 298: 1, 2, 149, 298
• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD(298, 400) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (298) and denominator (400) by 2.

298 ÷ 2/400 ÷ 2 = 149/200

Visual Representation

The diagram below illustrates Simplify 298/400 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`149/200`
Mixed Number Form	`149/200`
Decimal Form	`0.745`
Percentage	`74.5%`

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Frequently Asked Questions

What is 298/400 in simplest form?

298/400 simplified to lowest terms is 149/200.

What is the GCD (GCF) of 298 and 400?

The Greatest Common Divisor (GCD) of 298 and 400 is 2.

What are equivalent fractions to 298/400?

Equivalent fractions to 298/400 include 298/400, 447/600, and 596/800.