What is 7474/5948 Simplified? (Reduce 7474/5948 to Lowest Terms: 3737/2974)

Exact Answer

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Problem: Simplify 7474/5948 to Lowest Terms
Formula / Expression: 7474/5948 = 3737/2974
Final Answer: 1 763/2974 (3737/2974)
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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 7474: 1, 2, 37, 74, 101, 202, 3737, 7474
• Factors of 5948: 1, 2, 4, 1487, 2974, 5948
Working: GCD(7474, 5948) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (7474) and denominator (5948) by 2.
Working: 7474 ÷ 2/5948 ÷ 2 = 3737/2974

Step 3: Convert Improper Fraction to a Mixed Number
Because 3737 is larger than 2974, 3737/2974 can also be written as the mixed number 1 763/2974.
Working: 3737/2974 = 1 763/2974

Key Values:
- Simplified Fraction: 3737/2974
- Mixed Number Form: 1 763/2974
- Decimal Value: 1.256557
- Percentage: 125.6557%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-7474-5948/
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7474/5948 = 3737/2974

Simplified Fraction

3737/2974

Mixed Number

1 763/2974

Decimal Value

1.256557

Percentage

125.6557%

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Step-by-Step Solution: 7474/5948 = 3737/2974

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 7474: 1, 2, 37, 74, 101, 202, 3737, 7474
• Factors of 5948: 1, 2, 4, 1487, 2974, 5948

GCD(7474, 5948) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (7474) and denominator (5948) by 2.

7474 ÷ 2/5948 ÷ 2 = 3737/2974

Step 3

Convert Improper Fraction to a Mixed Number

Because 3737 is larger than 2974, 3737/2974 can also be written as the mixed number 1 763/2974.

3737/2974 = 1763/2974

Visual Representation

The diagram below illustrates Simplify 7474/5948 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3737/2974`
Mixed Number Form	`1 763/2974`
Decimal Form	`1.256557`
Percentage	`125.6557%`

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Frequently Asked Questions

What is 7474/5948 in simplest form?

7474/5948 simplified to lowest terms is 3737/2974.

What is the GCD (GCF) of 7474 and 5948?

The Greatest Common Divisor (GCD) of 7474 and 5948 is 2.

What are equivalent fractions to 7474/5948?

Equivalent fractions to 7474/5948 include 7474/5948, 11211/8922, and 14948/11896.