What is 4290/7200 Simplified? (Reduce 4290/7200 to Lowest Terms: 143/240)

Exact Answer

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Problem: Simplify 4290/7200 to Lowest Terms
Formula / Expression: 4290/7200 = 143/240
Final Answer: 143/240
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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 4290: 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65
• Factors of 7200: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25
Working: GCD(4290, 7200) = 30

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (4290) and denominator (7200) by 30.
Working: 4290 ÷ 30/7200 ÷ 30 = 143/240

Key Values:
- Simplified Fraction: 143/240
- Mixed Number Form: 143/240
- Decimal Value: 0.595833
- Percentage: 59.5833%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-4290-7200/
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4290/7200 = 143/240

Simplified Fraction

143/240

Mixed Number

Proper (143/240)

Decimal Value

0.595833

Percentage

59.5833%

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Step-by-Step Solution: 4290/7200 = 143/240

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 4290: 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65
• Factors of 7200: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25

GCD(4290, 7200) = 30

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 30. Divide both the numerator (4290) and denominator (7200) by 30.

4290 ÷ 30/7200 ÷ 30 = 143/240

Visual Representation

The diagram below illustrates Simplify 4290/7200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`143/240`
Mixed Number Form	`143/240`
Decimal Form	`0.595833`
Percentage	`59.5833%`

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Frequently Asked Questions

What is 4290/7200 in simplest form?

4290/7200 simplified to lowest terms is 143/240.

What is the GCD (GCF) of 4290 and 7200?

The Greatest Common Divisor (GCD) of 4290 and 7200 is 30.

What are equivalent fractions to 4290/7200?

Equivalent fractions to 4290/7200 include 286/480, 429/720, and 572/960.