What is 102/88 Simplified? (Reduce 102/88 to Lowest Terms: 51/44)

Exact Answer

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Problem: Simplify 102/88 to Lowest Terms
Formula / Expression: 102/88 = 51/44
Final Answer: 1 7/44 (51/44)
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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 88: 1, 2, 4, 8, 11, 22, 44, 88
Working: GCD(102, 88) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (102) and denominator (88) by 2.
Working: 102 ÷ 2/88 ÷ 2 = 51/44

Step 3: Convert Improper Fraction to a Mixed Number
Because 51 is larger than 44, 51/44 can also be written as the mixed number 1 7/44.
Working: 51/44 = 1 7/44

Key Values:
- Simplified Fraction: 51/44
- Mixed Number Form: 1 7/44
- Decimal Value: 1.159091
- Percentage: 115.9091%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-102-88/
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102/88 = 51/44

Simplified Fraction

51/44

Mixed Number

1 7/44

Decimal Value

1.159091

Percentage

115.9091%

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Step-by-Step Solution: 102/88 = 51/44

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 88: 1, 2, 4, 8, 11, 22, 44, 88

GCD(102, 88) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (102) and denominator (88) by 2.

102 ÷ 2/88 ÷ 2 = 51/44

Step 3

Convert Improper Fraction to a Mixed Number

Because 51 is larger than 44, 51/44 can also be written as the mixed number 1 7/44.

51/44 = 17/44

Visual Representation

The diagram below illustrates Simplify 102/88 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`51/44`
Mixed Number Form	`1 7/44`
Decimal Form	`1.159091`
Percentage	`115.9091%`

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Frequently Asked Questions

What is 102/88 in simplest form?

102/88 simplified to lowest terms is 51/44.

What is the GCD (GCF) of 102 and 88?

The Greatest Common Divisor (GCD) of 102 and 88 is 2.

What are equivalent fractions to 102/88?

Equivalent fractions to 102/88 include 102/88, 153/132, and 204/176.