What is 742/600 Simplified? (Reduce 742/600 to Lowest Terms: 371/300)

Exact Answer

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Problem: Simplify 742/600 to Lowest Terms
Formula / Expression: 742/600 = 371/300
Final Answer: 1 71/300 (371/300)
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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 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50
Working: GCD(742, 600) = 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 (600) by 2.
Working: 742 ÷ 2/600 ÷ 2 = 371/300

Step 3: Convert Improper Fraction to a Mixed Number
Because 371 is larger than 300, 371/300 can also be written as the mixed number 1 71/300.
Working: 371/300 = 1 71/300

Key Values:
- Simplified Fraction: 371/300
- Mixed Number Form: 1 71/300
- Decimal Value: 1.236667
- Percentage: 123.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-742-600/
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742/600 = 371/300

Simplified Fraction

371/300

Mixed Number

1 71/300

Decimal Value

1.236667

Percentage

123.6667%

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Step-by-Step Solution: 742/600 = 371/300

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 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50

GCD(742, 600) = 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 (600) by 2.

742 ÷ 2/600 ÷ 2 = 371/300

Step 3

Convert Improper Fraction to a Mixed Number

Because 371 is larger than 300, 371/300 can also be written as the mixed number 1 71/300.

371/300 = 171/300

Visual Representation

The diagram below illustrates Simplify 742/600 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/300`
Mixed Number Form	`1 71/300`
Decimal Form	`1.236667`
Percentage	`123.6667%`

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Frequently Asked Questions

What is 742/600 in simplest form?

742/600 simplified to lowest terms is 371/300.

What is the GCD (GCF) of 742 and 600?

The Greatest Common Divisor (GCD) of 742 and 600 is 2.

What are equivalent fractions to 742/600?

Equivalent fractions to 742/600 include 742/600, 1113/900, and 1484/1200.