What is 280/400 Simplified? (Reduce 280/400 to Lowest Terms: 7/10)

Exact Answer

280/400 = 7/10

Simplified Fraction

7/10

Mixed Number

Proper (7/10)

Decimal Value

0.7

Percentage

70%

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Step-by-Step Solution: 280/400 = 7/10

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 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD(280, 400) = 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 (400) by 40.

280 ÷ 40/400 ÷ 40 = 7/10

Visual Representation

The diagram below illustrates Simplify 280/400 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/10`
Mixed Number Form	`7/10`
Decimal Form	`0.7`
Percentage	`70%`

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Frequently Asked Questions

What is 280/400 in simplest form?

280/400 simplified to lowest terms is 7/10.

What is the GCD (GCF) of 280 and 400?

The Greatest Common Divisor (GCD) of 280 and 400 is 40.

What are equivalent fractions to 280/400?

Equivalent fractions to 280/400 include 14/20, 21/30, and 28/40.