What is 742/568 Simplified? (Reduce 742/568 to Lowest Terms: 371/284)

Exact Answer

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Problem: Simplify 742/568 to Lowest Terms
Formula / Expression: 742/568 = 371/284
Final Answer: 1 87/284 (371/284)
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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 568: 1, 2, 4, 8, 71, 142, 284, 568
Working: GCD(742, 568) = 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 (568) by 2.
Working: 742 ÷ 2/568 ÷ 2 = 371/284

Step 3: Convert Improper Fraction to a Mixed Number
Because 371 is larger than 284, 371/284 can also be written as the mixed number 1 87/284.
Working: 371/284 = 1 87/284

Key Values:
- Simplified Fraction: 371/284
- Mixed Number Form: 1 87/284
- Decimal Value: 1.306338
- Percentage: 130.6338%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-742-568/
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742/568 = 371/284

Simplified Fraction

371/284

Mixed Number

1 87/284

Decimal Value

1.306338

Percentage

130.6338%

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Step-by-Step Solution: 742/568 = 371/284

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 568: 1, 2, 4, 8, 71, 142, 284, 568

GCD(742, 568) = 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 (568) by 2.

742 ÷ 2/568 ÷ 2 = 371/284

Step 3

Convert Improper Fraction to a Mixed Number

Because 371 is larger than 284, 371/284 can also be written as the mixed number 1 87/284.

371/284 = 187/284

Visual Representation

The diagram below illustrates Simplify 742/568 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/284`
Mixed Number Form	`1 87/284`
Decimal Form	`1.306338`
Percentage	`130.6338%`

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Frequently Asked Questions

What is 742/568 in simplest form?

742/568 simplified to lowest terms is 371/284.

What is the GCD (GCF) of 742 and 568?

The Greatest Common Divisor (GCD) of 742 and 568 is 2.

What are equivalent fractions to 742/568?

Equivalent fractions to 742/568 include 742/568, 1113/852, and 1484/1136.