What is 1284/1008 Simplified? (Reduce 1284/1008 to Lowest Terms: 107/84)

Exact Answer

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Problem: Simplify 1284/1008 to Lowest Terms
Formula / Expression: 1284/1008 = 107/84
Final Answer: 1 23/84 (107/84)
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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 1284: 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284
• Factors of 1008: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36
Working: GCD(1284, 1008) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1284) and denominator (1008) by 12.
Working: 1284 ÷ 12/1008 ÷ 12 = 107/84

Step 3: Convert Improper Fraction to a Mixed Number
Because 107 is larger than 84, 107/84 can also be written as the mixed number 1 23/84.
Working: 107/84 = 1 23/84

Key Values:
- Simplified Fraction: 107/84
- Mixed Number Form: 1 23/84
- Decimal Value: 1.27381
- Percentage: 127.381%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1284-1008/
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1284/1008 = 107/84

Simplified Fraction

107/84

Mixed Number

1 23/84

Decimal Value

1.27381

Percentage

127.381%

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Step-by-Step Solution: 1284/1008 = 107/84

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1284: 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284
• Factors of 1008: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36

GCD(1284, 1008) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1284) and denominator (1008) by 12.

1284 ÷ 12/1008 ÷ 12 = 107/84

Step 3

Convert Improper Fraction to a Mixed Number

Because 107 is larger than 84, 107/84 can also be written as the mixed number 1 23/84.

107/84 = 123/84

Visual Representation

The diagram below illustrates Simplify 1284/1008 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`107/84`
Mixed Number Form	`1 23/84`
Decimal Form	`1.27381`
Percentage	`127.381%`

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Frequently Asked Questions

What is 1284/1008 in simplest form?

1284/1008 simplified to lowest terms is 107/84.

What is the GCD (GCF) of 1284 and 1008?

The Greatest Common Divisor (GCD) of 1284 and 1008 is 12.

What are equivalent fractions to 1284/1008?

Equivalent fractions to 1284/1008 include 214/168, 321/252, and 428/336.