What is 13440/6990 Simplified? (Reduce 13440/6990 to Lowest Terms: 448/233)

Exact Answer

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Problem: Simplify 13440/6990 to Lowest Terms
Formula / Expression: 13440/6990 = 448/233
Final Answer: 1 215/233 (448/233)
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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 13440: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24
• Factors of 6990: 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990
Working: GCD(13440, 6990) = 30

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (13440) and denominator (6990) by 30.
Working: 13440 ÷ 30/6990 ÷ 30 = 448/233

Step 3: Convert Improper Fraction to a Mixed Number
Because 448 is larger than 233, 448/233 can also be written as the mixed number 1 215/233.
Working: 448/233 = 1 215/233

Key Values:
- Simplified Fraction: 448/233
- Mixed Number Form: 1 215/233
- Decimal Value: 1.922747
- Percentage: 192.2747%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-13440-6990/
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13440/6990 = 448/233

Simplified Fraction

448/233

Mixed Number

1 215/233

Decimal Value

1.922747

Percentage

192.2747%

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Step-by-Step Solution: 13440/6990 = 448/233

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 13440: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24
• Factors of 6990: 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990

GCD(13440, 6990) = 30

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 30. Divide both the numerator (13440) and denominator (6990) by 30.

13440 ÷ 30/6990 ÷ 30 = 448/233

Step 3

Convert Improper Fraction to a Mixed Number

Because 448 is larger than 233, 448/233 can also be written as the mixed number 1 215/233.

448/233 = 1215/233

Visual Representation

The diagram below illustrates Simplify 13440/6990 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`448/233`
Mixed Number Form	`1 215/233`
Decimal Form	`1.922747`
Percentage	`192.2747%`

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Frequently Asked Questions

What is 13440/6990 in simplest form?

13440/6990 simplified to lowest terms is 448/233.

What is the GCD (GCF) of 13440 and 6990?

The Greatest Common Divisor (GCD) of 13440 and 6990 is 30.

What are equivalent fractions to 13440/6990?

Equivalent fractions to 13440/6990 include 896/466, 1344/699, and 1792/932.