What is 5474/4760 Simplified? (Reduce 5474/4760 to Lowest Terms: 23/20)

Exact Answer

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Problem: Simplify 5474/4760 to Lowest Terms
Formula / Expression: 5474/4760 = 23/20
Final Answer: 1 3/20 (23/20)
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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 5474: 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474
• Factors of 4760: 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68
Working: GCD(5474, 4760) = 238

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 238. Divide both the numerator (5474) and denominator (4760) by 238.
Working: 5474 ÷ 238/4760 ÷ 238 = 23/20

Step 3: Convert Improper Fraction to a Mixed Number
Because 23 is larger than 20, 23/20 can also be written as the mixed number 1 3/20.
Working: 23/20 = 1 3/20

Key Values:
- Simplified Fraction: 23/20
- Mixed Number Form: 1 3/20
- Decimal Value: 1.15
- Percentage: 115%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-5474-4760/
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5474/4760 = 23/20

Simplified Fraction

23/20

Mixed Number

1 3/20

Decimal Value

1.15

Percentage

115%

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Step-by-Step Solution: 5474/4760 = 23/20

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 5474: 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474
• Factors of 4760: 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68

GCD(5474, 4760) = 238

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 238. Divide both the numerator (5474) and denominator (4760) by 238.

5474 ÷ 238/4760 ÷ 238 = 23/20

Step 3

Convert Improper Fraction to a Mixed Number

Because 23 is larger than 20, 23/20 can also be written as the mixed number 1 3/20.

23/20 = 13/20

Visual Representation

The diagram below illustrates Simplify 5474/4760 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/20`
Mixed Number Form	`1 3/20`
Decimal Form	`1.15`
Percentage	`115%`

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Frequently Asked Questions

What is 5474/4760 in simplest form?

5474/4760 simplified to lowest terms is 23/20.

What is the GCD (GCF) of 5474 and 4760?

The Greatest Common Divisor (GCD) of 5474 and 4760 is 238.

What are equivalent fractions to 5474/4760?

Equivalent fractions to 5474/4760 include 46/40, 69/60, and 92/80.