What is 676/602 Simplified? (Reduce 676/602 to Lowest Terms: 338/301)

Exact Answer

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Problem: Simplify 676/602 to Lowest Terms
Formula / Expression: 676/602 = 338/301
Final Answer: 1 37/301 (338/301)
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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 676: 1, 2, 4, 13, 26, 52, 169, 338, 676
• Factors of 602: 1, 2, 7, 14, 43, 86, 301, 602
Working: GCD(676, 602) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (676) and denominator (602) by 2.
Working: 676 ÷ 2/602 ÷ 2 = 338/301

Step 3: Convert Improper Fraction to a Mixed Number
Because 338 is larger than 301, 338/301 can also be written as the mixed number 1 37/301.
Working: 338/301 = 1 37/301

Key Values:
- Simplified Fraction: 338/301
- Mixed Number Form: 1 37/301
- Decimal Value: 1.122924
- Percentage: 112.2924%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-676-602/
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676/602 = 338/301

Simplified Fraction

338/301

Mixed Number

1 37/301

Decimal Value

1.122924

Percentage

112.2924%

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Step-by-Step Solution: 676/602 = 338/301

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676
• Factors of 602: 1, 2, 7, 14, 43, 86, 301, 602

GCD(676, 602) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (676) and denominator (602) by 2.

676 ÷ 2/602 ÷ 2 = 338/301

Step 3

Convert Improper Fraction to a Mixed Number

Because 338 is larger than 301, 338/301 can also be written as the mixed number 1 37/301.

338/301 = 137/301

Visual Representation

The diagram below illustrates Simplify 676/602 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`338/301`
Mixed Number Form	`1 37/301`
Decimal Form	`1.122924`
Percentage	`112.2924%`

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Frequently Asked Questions

What is 676/602 in simplest form?

676/602 simplified to lowest terms is 338/301.

What is the GCD (GCF) of 676 and 602?

The Greatest Common Divisor (GCD) of 676 and 602 is 2.

What are equivalent fractions to 676/602?

Equivalent fractions to 676/602 include 676/602, 1014/903, and 1352/1204.