What is 140/200 Simplified? (Reduce 140/200 to Lowest Terms: 7/10)

Exact Answer

140/200 = 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: 140/200 = 7/10

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

GCD(140, 200) = 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 (200) by 20.

140 ÷ 20/200 ÷ 20 = 7/10

Visual Representation

The diagram below illustrates Simplify 140/200 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 140/200 in simplest form?

140/200 simplified to lowest terms is 7/10.

What is the GCD (GCF) of 140 and 200?

The Greatest Common Divisor (GCD) of 140 and 200 is 20.

What are equivalent fractions to 140/200?

Equivalent fractions to 140/200 include 14/20, 21/30, and 28/40.