What is 67490/39980 Simplified? (Reduce 67490/39980 to Lowest Terms: 6749/3998)

Exact Answer

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Problem: Simplify 67490/39980 to Lowest Terms
Formula / Expression: 67490/39980 = 6749/3998
Final Answer: 1 2751/3998 (6749/3998)
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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 67490: 1, 2, 5, 10, 17, 34, 85, 170, 397, 794, 1985, 3970, 6749, 13498, 33745, 67490
• Factors of 39980: 1, 2, 4, 5, 10, 20, 1999, 3998, 7996, 9995, 19990, 39980
Working: GCD(67490, 39980) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (67490) and denominator (39980) by 10.
Working: 67490 ÷ 10/39980 ÷ 10 = 6749/3998

Step 3: Convert Improper Fraction to a Mixed Number
Because 6749 is larger than 3998, 6749/3998 can also be written as the mixed number 1 2751/3998.
Working: 6749/3998 = 1 2751/3998

Key Values:
- Simplified Fraction: 6749/3998
- Mixed Number Form: 1 2751/3998
- Decimal Value: 1.688094
- Percentage: 168.8094%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-67490-39980/
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67490/39980 = 6749/3998

Simplified Fraction

6749/3998

Mixed Number

1 2751/3998

Decimal Value

1.688094

Percentage

168.8094%

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Step-by-Step Solution: 67490/39980 = 6749/3998

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 67490: 1, 2, 5, 10, 17, 34, 85, 170, 397, 794, 1985, 3970, 6749, 13498, 33745, 67490
• Factors of 39980: 1, 2, 4, 5, 10, 20, 1999, 3998, 7996, 9995, 19990, 39980

GCD(67490, 39980) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (67490) and denominator (39980) by 10.

67490 ÷ 10/39980 ÷ 10 = 6749/3998

Step 3

Convert Improper Fraction to a Mixed Number

Because 6749 is larger than 3998, 6749/3998 can also be written as the mixed number 1 2751/3998.

6749/3998 = 12751/3998

Visual Representation

The diagram below illustrates Simplify 67490/39980 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6749/3998`
Mixed Number Form	`1 2751/3998`
Decimal Form	`1.688094`
Percentage	`168.8094%`

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Frequently Asked Questions

What is 67490/39980 in simplest form?

67490/39980 simplified to lowest terms is 6749/3998.

What is the GCD (GCF) of 67490 and 39980?

The Greatest Common Divisor (GCD) of 67490 and 39980 is 10.

What are equivalent fractions to 67490/39980?

Equivalent fractions to 67490/39980 include 13498/7996, 20247/11994, and 26996/15992.