What is 300/616 Simplified? (Reduce 300/616 to Lowest Terms: 75/154)

Exact Answer

300/616 = 75/154

Simplified Fraction

75/154

Mixed Number

Proper (75/154)

Decimal Value

0.487013

Percentage

48.7013%

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Step-by-Step Solution: 300/616 = 75/154

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
• Factors of 616: 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD(300, 616) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (300) and denominator (616) by 4.

300 ÷ 4/616 ÷ 4 = 75/154

Visual Representation

The diagram below illustrates Simplify 300/616 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`75/154`
Mixed Number Form	`75/154`
Decimal Form	`0.487013`
Percentage	`48.7013%`

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Frequently Asked Questions

What is 300/616 in simplest form?

300/616 simplified to lowest terms is 75/154.

What is the GCD (GCF) of 300 and 616?

The Greatest Common Divisor (GCD) of 300 and 616 is 4.

What are equivalent fractions to 300/616?

Equivalent fractions to 300/616 include 150/308, 225/462, and 300/616.