What is 150/200 Simplified? (Reduce 150/200 to Lowest Terms: 3/4)

Exact Answer

150/200 = 3/4

Simplified Fraction

3/4

Mixed Number

Proper (3/4)

Decimal Value

0.75

Percentage

75%

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Step-by-Step Solution: 150/200 = 3/4

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
• Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD(150, 200) = 50

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 50. Divide both the numerator (150) and denominator (200) by 50.

150 ÷ 50/200 ÷ 50 = 3/4

Visual Representation

The diagram below illustrates Simplify 150/200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/4`
Mixed Number Form	`3/4`
Decimal Form	`0.75`
Percentage	`75%`

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Frequently Asked Questions

What is 150/200 in simplest form?

150/200 simplified to lowest terms is 3/4.

What is the GCD (GCF) of 150 and 200?

The Greatest Common Divisor (GCD) of 150 and 200 is 50.

What are equivalent fractions to 150/200?

Equivalent fractions to 150/200 include 6/8, 9/12, and 12/16.