Simplify 320/280 to Lowest Terms
320/280 simplified to its lowest terms is 8/7 (or 1.142857 in decimal). See how to reduce 320/280 using Greatest Common Divisor (GCD = 40).
Exact Answer
320/280 = 8/7
Simplified Fraction
8/7
Mixed Number
1 1/7
Decimal Value
1.142857
Percentage
114.2857%
Step-by-Step Solution: 320/280 = 8/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 320:
• Factors of 280:
• Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320• Factors of 280:
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD(320, 280) = 40
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 40. Divide both the numerator (320) and denominator (280) by 40.
320 ÷ 40/280 ÷ 40 = 8/7
Step 3
Convert Improper Fraction to a Mixed Number
Because 8 is larger than 7, 8/7 can also be written as the mixed number 1 1/7.
8/7 = 11/7
Visual Representation
The diagram below illustrates Simplify 320/280 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 8/7 |
| Mixed Number Form | 1 1/7 |
| Decimal Form | 1.142857 |
| Percentage | 114.2857% |
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Frequently Asked Questions
What is 320/280 in simplest form?
320/280 simplified to lowest terms is 8/7.
What is the GCD (GCF) of 320 and 280?
The Greatest Common Divisor (GCD) of 320 and 280 is 40.
What are equivalent fractions to 320/280?
Equivalent fractions to 320/280 include 16/14, 24/21, and 32/28.