What is 312/1440 Simplified? (Reduce 312/1440 to Lowest Terms: 13/60)

Exact Answer

312/1440 = 13/60

Simplified Fraction

13/60

Mixed Number

Proper (13/60)

Decimal Value

0.216667

Percentage

21.6667%

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Step-by-Step Solution: 312/1440 = 13/60

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 312: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(312, 1440) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (312) and denominator (1440) by 24.

312 ÷ 24/1440 ÷ 24 = 13/60

Visual Representation

The diagram below illustrates Simplify 312/1440 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/60`
Mixed Number Form	`13/60`
Decimal Form	`0.216667`
Percentage	`21.6667%`

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Frequently Asked Questions

What is 312/1440 in simplest form?

312/1440 simplified to lowest terms is 13/60.

What is the GCD (GCF) of 312 and 1440?

The Greatest Common Divisor (GCD) of 312 and 1440 is 24.

What are equivalent fractions to 312/1440?

Equivalent fractions to 312/1440 include 26/120, 39/180, and 52/240.