What is 300/400 Simplified? (Reduce 300/400 to Lowest Terms: 3/4)

Exact Answer

300/400 = 3/4

Simplified Fraction

3/4

Mixed Number

Proper (3/4)

Decimal Value

0.75

Percentage

75%

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Step-by-Step Solution: 300/400 = 3/4

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD(300, 400) = 100

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 100. Divide both the numerator (300) and denominator (400) by 100.

300 ÷ 100/400 ÷ 100 = 3/4

Visual Representation

The diagram below illustrates Simplify 300/400 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/4`
Mixed Number Form	`3/4`
Decimal Form	`0.75`
Percentage	`75%`

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Frequently Asked Questions

What is 300/400 in simplest form?

300/400 simplified to lowest terms is 3/4.

What is the GCD (GCF) of 300 and 400?

The Greatest Common Divisor (GCD) of 300 and 400 is 100.

What are equivalent fractions to 300/400?

Equivalent fractions to 300/400 include 6/8, 9/12, and 12/16.