What is 280/800 Simplified? (Reduce 280/800 to Lowest Terms: 7/20)

Exact Answer

280/800 = 7/20

Simplified Fraction

7/20

Mixed Number

Proper (7/20)

Decimal Value

0.35

Percentage

35%

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Step-by-Step Solution: 280/800 = 7/20

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 800: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200

GCD(280, 800) = 40

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 40. Divide both the numerator (280) and denominator (800) by 40.

280 ÷ 40/800 ÷ 40 = 7/20

Visual Representation

The diagram below illustrates Simplify 280/800 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/20`
Mixed Number Form	`7/20`
Decimal Form	`0.35`
Percentage	`35%`

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Frequently Asked Questions

What is 280/800 in simplest form?

280/800 simplified to lowest terms is 7/20.

What is the GCD (GCF) of 280 and 800?

The Greatest Common Divisor (GCD) of 280 and 800 is 40.

What are equivalent fractions to 280/800?

Equivalent fractions to 280/800 include 14/40, 21/60, and 28/80.