What is 850/1200 Simplified? (Reduce 850/1200 to Lowest Terms: 17/24)

Exact Answer

850/1200 = 17/24

Simplified Fraction

17/24

Mixed Number

Proper (17/24)

Decimal Value

0.708333

Percentage

70.8333%

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Step-by-Step Solution: 850/1200 = 17/24

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 850: 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40

GCD(850, 1200) = 50

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 50. Divide both the numerator (850) and denominator (1200) by 50.

850 ÷ 50/1200 ÷ 50 = 17/24

Visual Representation

The diagram below illustrates Simplify 850/1200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/24`
Mixed Number Form	`17/24`
Decimal Form	`0.708333`
Percentage	`70.8333%`

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Frequently Asked Questions

What is 850/1200 in simplest form?

850/1200 simplified to lowest terms is 17/24.

What is the GCD (GCF) of 850 and 1200?

The Greatest Common Divisor (GCD) of 850 and 1200 is 50.

What are equivalent fractions to 850/1200?

Equivalent fractions to 850/1200 include 34/48, 51/72, and 68/96.