What is 69510/39720 Simplified? (Reduce 69510/39720 to Lowest Terms: 7/4)

Exact Answer

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Problem: Simplify 69510/39720 to Lowest Terms
Formula / Expression: 69510/39720 = 7/4
Final Answer: 1 3/4 (7/4)
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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 69510: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
• Factors of 39720: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Working: GCD(69510, 39720) = 9930

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 9930. Divide both the numerator (69510) and denominator (39720) by 9930.
Working: 69510 ÷ 9930/39720 ÷ 9930 = 7/4

Step 3: Convert Improper Fraction to a Mixed Number
Because 7 is larger than 4, 7/4 can also be written as the mixed number 1 3/4.
Working: 7/4 = 1 3/4

Key Values:
- Simplified Fraction: 7/4
- Mixed Number Form: 1 3/4
- Decimal Value: 1.75
- Percentage: 175%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-69510-39720/
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69510/39720 = 7/4

Simplified Fraction

7/4

Mixed Number

1 3/4

Decimal Value

1.75

Percentage

175%

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Step-by-Step Solution: 69510/39720 = 7/4

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 69510: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
• Factors of 39720: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD(69510, 39720) = 9930

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 9930. Divide both the numerator (69510) and denominator (39720) by 9930.

69510 ÷ 9930/39720 ÷ 9930 = 7/4

Step 3

Convert Improper Fraction to a Mixed Number

Because 7 is larger than 4, 7/4 can also be written as the mixed number 1 3/4.

7/4 = 13/4

Visual Representation

The diagram below illustrates Simplify 69510/39720 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/4`
Mixed Number Form	`1 3/4`
Decimal Form	`1.75`
Percentage	`175%`

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Frequently Asked Questions

What is 69510/39720 in simplest form?

69510/39720 simplified to lowest terms is 7/4.

What is the GCD (GCF) of 69510 and 39720?

The Greatest Common Divisor (GCD) of 69510 and 39720 is 9930.

What are equivalent fractions to 69510/39720?

Equivalent fractions to 69510/39720 include 14/8, 21/12, and 28/16.