What is 300/1344 Simplified? (Reduce 300/1344 to Lowest Terms: 25/112)

Exact Answer

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Problem: Simplify 300/1344 to Lowest Terms
Formula / Expression: 300/1344 = 25/112
Final Answer: 25/112
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Step-by-Step Solution:

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 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
Working: GCD(300, 1344) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (300) and denominator (1344) by 12.
Working: 300 ÷ 12/1344 ÷ 12 = 25/112

Key Values:
- Simplified Fraction: 25/112
- Mixed Number Form: 25/112
- Decimal Value: 0.223214
- Percentage: 22.3214%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-300-1344/
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300/1344 = 25/112

Simplified Fraction

25/112

Mixed Number

Proper (25/112)

Decimal Value

0.223214

Percentage

22.3214%

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Step-by-Step Solution: 300/1344 = 25/112

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 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48

GCD(300, 1344) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (300) and denominator (1344) by 12.

300 ÷ 12/1344 ÷ 12 = 25/112

Visual Representation

The diagram below illustrates Simplify 300/1344 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/112`
Mixed Number Form	`25/112`
Decimal Form	`0.223214`
Percentage	`22.3214%`

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Frequently Asked Questions

What is 300/1344 in simplest form?

300/1344 simplified to lowest terms is 25/112.

What is the GCD (GCF) of 300 and 1344?

The Greatest Common Divisor (GCD) of 300 and 1344 is 12.

What are equivalent fractions to 300/1344?

Equivalent fractions to 300/1344 include 50/224, 75/336, and 100/448.