What is 1092/1344 Simplified? (Reduce 1092/1344 to Lowest Terms: 13/16)

Exact Answer

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Problem: Simplify 1092/1344 to Lowest Terms
Formula / Expression: 1092/1344 = 13/16
Final Answer: 13/16
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1092: 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78
• Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
Working: GCD(1092, 1344) = 84

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 84. Divide both the numerator (1092) and denominator (1344) by 84.
Working: 1092 ÷ 84/1344 ÷ 84 = 13/16

Key Values:
- Simplified Fraction: 13/16
- Mixed Number Form: 13/16
- Decimal Value: 0.8125
- Percentage: 81.25%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1092-1344/
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1092/1344 = 13/16

Simplified Fraction

13/16

Mixed Number

Proper (13/16)

Decimal Value

0.8125

Percentage

81.25%

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Step-by-Step Solution: 1092/1344 = 13/16

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1092: 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78
• Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48

GCD(1092, 1344) = 84

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 84. Divide both the numerator (1092) and denominator (1344) by 84.

1092 ÷ 84/1344 ÷ 84 = 13/16

Visual Representation

The diagram below illustrates Simplify 1092/1344 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/16`
Mixed Number Form	`13/16`
Decimal Form	`0.8125`
Percentage	`81.25%`

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Frequently Asked Questions

What is 1092/1344 in simplest form?

1092/1344 simplified to lowest terms is 13/16.

What is the GCD (GCF) of 1092 and 1344?

The Greatest Common Divisor (GCD) of 1092 and 1344 is 84.

What are equivalent fractions to 1092/1344?

Equivalent fractions to 1092/1344 include 26/32, 39/48, and 52/64.