What is 672/402 Simplified? (Reduce 672/402 to Lowest Terms: 112/67)

Exact Answer

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Problem: Simplify 672/402 to Lowest Terms
Formula / Expression: 672/402 = 112/67
Final Answer: 1 45/67 (112/67)
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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 672: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 402: 1, 2, 3, 6, 67, 134, 201, 402
Working: GCD(672, 402) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (672) and denominator (402) by 6.
Working: 672 ÷ 6/402 ÷ 6 = 112/67

Step 3: Convert Improper Fraction to a Mixed Number
Because 112 is larger than 67, 112/67 can also be written as the mixed number 1 45/67.
Working: 112/67 = 1 45/67

Key Values:
- Simplified Fraction: 112/67
- Mixed Number Form: 1 45/67
- Decimal Value: 1.671642
- Percentage: 167.1642%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-672-402/
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672/402 = 112/67

Simplified Fraction

112/67

Mixed Number

1 45/67

Decimal Value

1.671642

Percentage

167.1642%

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Step-by-Step Solution: 672/402 = 112/67

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 672: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 402: 1, 2, 3, 6, 67, 134, 201, 402

GCD(672, 402) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (672) and denominator (402) by 6.

672 ÷ 6/402 ÷ 6 = 112/67

Step 3

Convert Improper Fraction to a Mixed Number

Because 112 is larger than 67, 112/67 can also be written as the mixed number 1 45/67.

112/67 = 145/67

Visual Representation

The diagram below illustrates Simplify 672/402 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`112/67`
Mixed Number Form	`1 45/67`
Decimal Form	`1.671642`
Percentage	`167.1642%`

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Frequently Asked Questions

What is 672/402 in simplest form?

672/402 simplified to lowest terms is 112/67.

What is the GCD (GCF) of 672 and 402?

The Greatest Common Divisor (GCD) of 672 and 402 is 6.

What are equivalent fractions to 672/402?

Equivalent fractions to 672/402 include 224/134, 336/201, and 448/268.