What is 280/238 Simplified? (Reduce 280/238 to Lowest Terms: 20/17)

Exact Answer

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Problem: Simplify 280/238 to Lowest Terms
Formula / Expression: 280/238 = 20/17
Final Answer: 1 3/17 (20/17)
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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 280: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
• Factors of 238: 1, 2, 7, 14, 17, 34, 119, 238
Working: GCD(280, 238) = 14

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (280) and denominator (238) by 14.
Working: 280 ÷ 14/238 ÷ 14 = 20/17

Step 3: Convert Improper Fraction to a Mixed Number
Because 20 is larger than 17, 20/17 can also be written as the mixed number 1 3/17.
Working: 20/17 = 1 3/17

Key Values:
- Simplified Fraction: 20/17
- Mixed Number Form: 1 3/17
- Decimal Value: 1.176471
- Percentage: 117.6471%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-280-238/
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280/238 = 20/17

Simplified Fraction

20/17

Mixed Number

1 3/17

Decimal Value

1.176471

Percentage

117.6471%

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Step-by-Step Solution: 280/238 = 20/17

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 280: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
• Factors of 238: 1, 2, 7, 14, 17, 34, 119, 238

GCD(280, 238) = 14

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 14. Divide both the numerator (280) and denominator (238) by 14.

280 ÷ 14/238 ÷ 14 = 20/17

Step 3

Convert Improper Fraction to a Mixed Number

Because 20 is larger than 17, 20/17 can also be written as the mixed number 1 3/17.

20/17 = 13/17

Visual Representation

The diagram below illustrates Simplify 280/238 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`20/17`
Mixed Number Form	`1 3/17`
Decimal Form	`1.176471`
Percentage	`117.6471%`

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Frequently Asked Questions

What is 280/238 in simplest form?

280/238 simplified to lowest terms is 20/17.

What is the GCD (GCF) of 280 and 238?

The Greatest Common Divisor (GCD) of 280 and 238 is 14.

What are equivalent fractions to 280/238?

Equivalent fractions to 280/238 include 40/34, 60/51, and 80/68.