What is 740/600 Simplified? (Reduce 740/600 to Lowest Terms: 37/30)

Exact Answer

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Problem: Simplify 740/600 to Lowest Terms
Formula / Expression: 740/600 = 37/30
Final Answer: 1 7/30 (37/30)
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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 740: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
• Factors of 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50
Working: GCD(740, 600) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (740) and denominator (600) by 20.
Working: 740 ÷ 20/600 ÷ 20 = 37/30

Step 3: Convert Improper Fraction to a Mixed Number
Because 37 is larger than 30, 37/30 can also be written as the mixed number 1 7/30.
Working: 37/30 = 1 7/30

Key Values:
- Simplified Fraction: 37/30
- Mixed Number Form: 1 7/30
- Decimal Value: 1.233333
- Percentage: 123.3333%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-740-600/
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740/600 = 37/30

Simplified Fraction

37/30

Mixed Number

1 7/30

Decimal Value

1.233333

Percentage

123.3333%

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Step-by-Step Solution: 740/600 = 37/30

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 740: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
• Factors of 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50

GCD(740, 600) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (740) and denominator (600) by 20.

740 ÷ 20/600 ÷ 20 = 37/30

Step 3

Convert Improper Fraction to a Mixed Number

Because 37 is larger than 30, 37/30 can also be written as the mixed number 1 7/30.

37/30 = 17/30

Visual Representation

The diagram below illustrates Simplify 740/600 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`37/30`
Mixed Number Form	`1 7/30`
Decimal Form	`1.233333`
Percentage	`123.3333%`

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Frequently Asked Questions

What is 740/600 in simplest form?

740/600 simplified to lowest terms is 37/30.

What is the GCD (GCF) of 740 and 600?

The Greatest Common Divisor (GCD) of 740 and 600 is 20.

What are equivalent fractions to 740/600?

Equivalent fractions to 740/600 include 74/60, 111/90, and 148/120.