What is 742/576 Simplified? (Reduce 742/576 to Lowest Terms: 371/288)

Exact Answer

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Problem: Simplify 742/576 to Lowest Terms
Formula / Expression: 742/576 = 371/288
Final Answer: 1 83/288 (371/288)
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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 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
Working: GCD(742, 576) = 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 (576) by 2.
Working: 742 ÷ 2/576 ÷ 2 = 371/288

Step 3: Convert Improper Fraction to a Mixed Number
Because 371 is larger than 288, 371/288 can also be written as the mixed number 1 83/288.
Working: 371/288 = 1 83/288

Key Values:
- Simplified Fraction: 371/288
- Mixed Number Form: 1 83/288
- Decimal Value: 1.288194
- Percentage: 128.8194%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-742-576/
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742/576 = 371/288

Simplified Fraction

371/288

Mixed Number

1 83/288

Decimal Value

1.288194

Percentage

128.8194%

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Step-by-Step Solution: 742/576 = 371/288

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 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(742, 576) = 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 (576) by 2.

742 ÷ 2/576 ÷ 2 = 371/288

Step 3

Convert Improper Fraction to a Mixed Number

Because 371 is larger than 288, 371/288 can also be written as the mixed number 1 83/288.

371/288 = 183/288

Visual Representation

The diagram below illustrates Simplify 742/576 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/288`
Mixed Number Form	`1 83/288`
Decimal Form	`1.288194`
Percentage	`128.8194%`

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Frequently Asked Questions

What is 742/576 in simplest form?

742/576 simplified to lowest terms is 371/288.

What is the GCD (GCF) of 742 and 576?

The Greatest Common Divisor (GCD) of 742 and 576 is 2.

What are equivalent fractions to 742/576?

Equivalent fractions to 742/576 include 742/576, 1113/864, and 1484/1152.