What is 140/400 Simplified? (Reduce 140/400 to Lowest Terms: 7/20)

Exact Answer

140/400 = 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: 140/400 = 7/20

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD(140, 400) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (140) and denominator (400) by 20.

140 ÷ 20/400 ÷ 20 = 7/20

Visual Representation

The diagram below illustrates Simplify 140/400 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 140/400 in simplest form?

140/400 simplified to lowest terms is 7/20.

What is the GCD (GCF) of 140 and 400?

The Greatest Common Divisor (GCD) of 140 and 400 is 20.

What are equivalent fractions to 140/400?

Equivalent fractions to 140/400 include 14/40, 21/60, and 28/80.