What is 102/96 Simplified? (Reduce 102/96 to Lowest Terms: 17/16)

Exact Answer

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Problem: Simplify 102/96 to Lowest Terms
Formula / Expression: 102/96 = 17/16
Final Answer: 1 1/16 (17/16)
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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 102: 1, 2, 3, 6, 17, 34, 51, 102
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Working: GCD(102, 96) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (102) and denominator (96) by 6.
Working: 102 ÷ 6/96 ÷ 6 = 17/16

Step 3: Convert Improper Fraction to a Mixed Number
Because 17 is larger than 16, 17/16 can also be written as the mixed number 1 1/16.
Working: 17/16 = 1 1/16

Key Values:
- Simplified Fraction: 17/16
- Mixed Number Form: 1 1/16
- Decimal Value: 1.0625
- Percentage: 106.25%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-102-96/
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102/96 = 17/16

Simplified Fraction

17/16

Mixed Number

1 1/16

Decimal Value

1.0625

Percentage

106.25%

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Step-by-Step Solution: 102/96 = 17/16

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 102: 1, 2, 3, 6, 17, 34, 51, 102
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD(102, 96) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (102) and denominator (96) by 6.

102 ÷ 6/96 ÷ 6 = 17/16

Step 3

Convert Improper Fraction to a Mixed Number

Because 17 is larger than 16, 17/16 can also be written as the mixed number 1 1/16.

17/16 = 11/16

Visual Representation

The diagram below illustrates Simplify 102/96 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/16`
Mixed Number Form	`1 1/16`
Decimal Form	`1.0625`
Percentage	`106.25%`

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Frequently Asked Questions

What is 102/96 in simplest form?

102/96 simplified to lowest terms is 17/16.

What is the GCD (GCF) of 102 and 96?

The Greatest Common Divisor (GCD) of 102 and 96 is 6.

What are equivalent fractions to 102/96?

Equivalent fractions to 102/96 include 34/32, 51/48, and 68/64.