What is 7400/5750 Simplified? (Reduce 7400/5750 to Lowest Terms: 148/115)

Exact Answer

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Problem: Simplify 7400/5750 to Lowest Terms
Formula / Expression: 7400/5750 = 148/115
Final Answer: 1 33/115 (148/115)
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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 7400: 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200
• Factors of 5750: 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750
Working: GCD(7400, 5750) = 50

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 50. Divide both the numerator (7400) and denominator (5750) by 50.
Working: 7400 ÷ 50/5750 ÷ 50 = 148/115

Step 3: Convert Improper Fraction to a Mixed Number
Because 148 is larger than 115, 148/115 can also be written as the mixed number 1 33/115.
Working: 148/115 = 1 33/115

Key Values:
- Simplified Fraction: 148/115
- Mixed Number Form: 1 33/115
- Decimal Value: 1.286957
- Percentage: 128.6957%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-7400-5750/
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7400/5750 = 148/115

Simplified Fraction

148/115

Mixed Number

1 33/115

Decimal Value

1.286957

Percentage

128.6957%

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Step-by-Step Solution: 7400/5750 = 148/115

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 7400: 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200
• Factors of 5750: 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750

GCD(7400, 5750) = 50

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 50. Divide both the numerator (7400) and denominator (5750) by 50.

7400 ÷ 50/5750 ÷ 50 = 148/115

Step 3

Convert Improper Fraction to a Mixed Number

Because 148 is larger than 115, 148/115 can also be written as the mixed number 1 33/115.

148/115 = 133/115

Visual Representation

The diagram below illustrates Simplify 7400/5750 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`148/115`
Mixed Number Form	`1 33/115`
Decimal Form	`1.286957`
Percentage	`128.6957%`

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Frequently Asked Questions

What is 7400/5750 in simplest form?

7400/5750 simplified to lowest terms is 148/115.

What is the GCD (GCF) of 7400 and 5750?

The Greatest Common Divisor (GCD) of 7400 and 5750 is 50.

What are equivalent fractions to 7400/5750?

Equivalent fractions to 7400/5750 include 296/230, 444/345, and 592/460.