What is 742/580 Simplified? (Reduce 742/580 to Lowest Terms: 371/290)

Exact Answer

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Problem: Simplify 742/580 to Lowest Terms
Formula / Expression: 742/580 = 371/290
Final Answer: 1 81/290 (371/290)
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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 580: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Working: GCD(742, 580) = 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 (580) by 2.
Working: 742 ÷ 2/580 ÷ 2 = 371/290

Step 3: Convert Improper Fraction to a Mixed Number
Because 371 is larger than 290, 371/290 can also be written as the mixed number 1 81/290.
Working: 371/290 = 1 81/290

Key Values:
- Simplified Fraction: 371/290
- Mixed Number Form: 1 81/290
- Decimal Value: 1.27931
- Percentage: 127.931%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-742-580/
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742/580 = 371/290

Simplified Fraction

371/290

Mixed Number

1 81/290

Decimal Value

1.27931

Percentage

127.931%

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Step-by-Step Solution: 742/580 = 371/290

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 580: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD(742, 580) = 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 (580) by 2.

742 ÷ 2/580 ÷ 2 = 371/290

Step 3

Convert Improper Fraction to a Mixed Number

Because 371 is larger than 290, 371/290 can also be written as the mixed number 1 81/290.

371/290 = 181/290

Visual Representation

The diagram below illustrates Simplify 742/580 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/290`
Mixed Number Form	`1 81/290`
Decimal Form	`1.27931`
Percentage	`127.931%`

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Frequently Asked Questions

What is 742/580 in simplest form?

742/580 simplified to lowest terms is 371/290.

What is the GCD (GCF) of 742 and 580?

The Greatest Common Divisor (GCD) of 742 and 580 is 2.

What are equivalent fractions to 742/580?

Equivalent fractions to 742/580 include 742/580, 1113/870, and 1484/1160.