What is 742/612 Simplified? (Reduce 742/612 to Lowest Terms: 371/306)

Exact Answer

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Problem: Simplify 742/612 to Lowest Terms
Formula / Expression: 742/612 = 371/306
Final Answer: 1 65/306 (371/306)
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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 742: 1, 2, 7, 14, 53, 106, 371, 742
• Factors of 612: 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204
Working: GCD(742, 612) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (742) and denominator (612) by 2.
Working: 742 ÷ 2/612 ÷ 2 = 371/306

Step 3: Convert Improper Fraction to a Mixed Number
Because 371 is larger than 306, 371/306 can also be written as the mixed number 1 65/306.
Working: 371/306 = 1 65/306

Key Values:
- Simplified Fraction: 371/306
- Mixed Number Form: 1 65/306
- Decimal Value: 1.212418
- Percentage: 121.2418%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-742-612/
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742/612 = 371/306

Simplified Fraction

371/306

Mixed Number

1 65/306

Decimal Value

1.212418

Percentage

121.2418%

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Step-by-Step Solution: 742/612 = 371/306

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 742: 1, 2, 7, 14, 53, 106, 371, 742
• Factors of 612: 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204

GCD(742, 612) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (742) and denominator (612) by 2.

742 ÷ 2/612 ÷ 2 = 371/306

Step 3

Convert Improper Fraction to a Mixed Number

Because 371 is larger than 306, 371/306 can also be written as the mixed number 1 65/306.

371/306 = 165/306

Visual Representation

The diagram below illustrates Simplify 742/612 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/306`
Mixed Number Form	`1 65/306`
Decimal Form	`1.212418`
Percentage	`121.2418%`

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Frequently Asked Questions

What is 742/612 in simplest form?

742/612 simplified to lowest terms is 371/306.

What is the GCD (GCF) of 742 and 612?

The Greatest Common Divisor (GCD) of 742 and 612 is 2.

What are equivalent fractions to 742/612?

Equivalent fractions to 742/612 include 742/612, 1113/918, and 1484/1224.