What is 13440/6972 Simplified? (Reduce 13440/6972 to Lowest Terms: 160/83)

Exact Answer

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Problem: Simplify 13440/6972 to Lowest Terms
Formula / Expression: 13440/6972 = 160/83
Final Answer: 1 77/83 (160/83)
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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 6972: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332
Working: GCD(13440, 6972) = 84

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 84. Divide both the numerator (13440) and denominator (6972) by 84.
Working: 13440 ÷ 84/6972 ÷ 84 = 160/83

Step 3: Convert Improper Fraction to a Mixed Number
Because 160 is larger than 83, 160/83 can also be written as the mixed number 1 77/83.
Working: 160/83 = 1 77/83

Key Values:
- Simplified Fraction: 160/83
- Mixed Number Form: 1 77/83
- Decimal Value: 1.927711
- Percentage: 192.7711%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-13440-6972/
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13440/6972 = 160/83

Simplified Fraction

160/83

Mixed Number

1 77/83

Decimal Value

1.927711

Percentage

192.7711%

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Step-by-Step Solution: 13440/6972 = 160/83

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 6972: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332

GCD(13440, 6972) = 84

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 84. Divide both the numerator (13440) and denominator (6972) by 84.

13440 ÷ 84/6972 ÷ 84 = 160/83

Step 3

Convert Improper Fraction to a Mixed Number

Because 160 is larger than 83, 160/83 can also be written as the mixed number 1 77/83.

160/83 = 177/83

Visual Representation

The diagram below illustrates Simplify 13440/6972 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`160/83`
Mixed Number Form	`1 77/83`
Decimal Form	`1.927711`
Percentage	`192.7711%`

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Frequently Asked Questions

What is 13440/6972 in simplest form?

13440/6972 simplified to lowest terms is 160/83.

What is the GCD (GCF) of 13440 and 6972?

The Greatest Common Divisor (GCD) of 13440 and 6972 is 84.

What are equivalent fractions to 13440/6972?

Equivalent fractions to 13440/6972 include 320/166, 480/249, and 640/332.