What is 1344/1316 Simplified? (Reduce 1344/1316 to Lowest Terms: 48/47)

Exact Answer

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Problem: Simplify 1344/1316 to Lowest Terms
Formula / Expression: 1344/1316 = 48/47
Final Answer: 1 1/47 (48/47)
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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 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 1316: 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316
Working: GCD(1344, 1316) = 28

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 28. Divide both the numerator (1344) and denominator (1316) by 28.
Working: 1344 ÷ 28/1316 ÷ 28 = 48/47

Step 3: Convert Improper Fraction to a Mixed Number
Because 48 is larger than 47, 48/47 can also be written as the mixed number 1 1/47.
Working: 48/47 = 1 1/47

Key Values:
- Simplified Fraction: 48/47
- Mixed Number Form: 1 1/47
- Decimal Value: 1.021277
- Percentage: 102.1277%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1344-1316/
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1344/1316 = 48/47

Simplified Fraction

48/47

Mixed Number

1 1/47

Decimal Value

1.021277

Percentage

102.1277%

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Step-by-Step Solution: 1344/1316 = 48/47

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 1316: 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316

GCD(1344, 1316) = 28

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 28. Divide both the numerator (1344) and denominator (1316) by 28.

1344 ÷ 28/1316 ÷ 28 = 48/47

Step 3

Convert Improper Fraction to a Mixed Number

Because 48 is larger than 47, 48/47 can also be written as the mixed number 1 1/47.

48/47 = 11/47

Visual Representation

The diagram below illustrates Simplify 1344/1316 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`48/47`
Mixed Number Form	`1 1/47`
Decimal Form	`1.021277`
Percentage	`102.1277%`

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Frequently Asked Questions

What is 1344/1316 in simplest form?

1344/1316 simplified to lowest terms is 48/47.

What is the GCD (GCF) of 1344 and 1316?

The Greatest Common Divisor (GCD) of 1344 and 1316 is 28.

What are equivalent fractions to 1344/1316?

Equivalent fractions to 1344/1316 include 96/94, 144/141, and 192/188.