What is 118/96 Simplified? (Reduce 118/96 to Lowest Terms: 59/48)

Exact Answer

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Problem: Simplify 118/96 to Lowest Terms
Formula / Expression: 118/96 = 59/48
Final Answer: 1 11/48 (59/48)
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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 118: 1, 2, 59, 118
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Working: GCD(118, 96) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (118) and denominator (96) by 2.
Working: 118 ÷ 2/96 ÷ 2 = 59/48

Step 3: Convert Improper Fraction to a Mixed Number
Because 59 is larger than 48, 59/48 can also be written as the mixed number 1 11/48.
Working: 59/48 = 1 11/48

Key Values:
- Simplified Fraction: 59/48
- Mixed Number Form: 1 11/48
- Decimal Value: 1.229167
- Percentage: 122.9167%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-118-96/
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118/96 = 59/48

Simplified Fraction

59/48

Mixed Number

1 11/48

Decimal Value

1.229167

Percentage

122.9167%

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Step-by-Step Solution: 118/96 = 59/48

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 118: 1, 2, 59, 118
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD(118, 96) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (118) and denominator (96) by 2.

118 ÷ 2/96 ÷ 2 = 59/48

Step 3

Convert Improper Fraction to a Mixed Number

Because 59 is larger than 48, 59/48 can also be written as the mixed number 1 11/48.

59/48 = 111/48

Visual Representation

The diagram below illustrates Simplify 118/96 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`59/48`
Mixed Number Form	`1 11/48`
Decimal Form	`1.229167`
Percentage	`122.9167%`

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Frequently Asked Questions

What is 118/96 in simplest form?

118/96 simplified to lowest terms is 59/48.

What is the GCD (GCF) of 118 and 96?

The Greatest Common Divisor (GCD) of 118 and 96 is 2.

What are equivalent fractions to 118/96?

Equivalent fractions to 118/96 include 118/96, 177/144, and 236/192.