What is 146/96 Simplified? (Reduce 146/96 to Lowest Terms: 73/48)

Exact Answer

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Problem: Simplify 146/96 to Lowest Terms
Formula / Expression: 146/96 = 73/48
Final Answer: 1 25/48 (73/48)
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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 146: 1, 2, 73, 146
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Working: GCD(146, 96) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (146) and denominator (96) by 2.
Working: 146 ÷ 2/96 ÷ 2 = 73/48

Step 3: Convert Improper Fraction to a Mixed Number
Because 73 is larger than 48, 73/48 can also be written as the mixed number 1 25/48.
Working: 73/48 = 1 25/48

Key Values:
- Simplified Fraction: 73/48
- Mixed Number Form: 1 25/48
- Decimal Value: 1.520833
- Percentage: 152.0833%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-146-96/
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146/96 = 73/48

Simplified Fraction

73/48

Mixed Number

1 25/48

Decimal Value

1.520833

Percentage

152.0833%

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Step-by-Step Solution: 146/96 = 73/48

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 146: 1, 2, 73, 146
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD(146, 96) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (146) and denominator (96) by 2.

146 ÷ 2/96 ÷ 2 = 73/48

Step 3

Convert Improper Fraction to a Mixed Number

Because 73 is larger than 48, 73/48 can also be written as the mixed number 1 25/48.

73/48 = 125/48

Visual Representation

The diagram below illustrates Simplify 146/96 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`73/48`
Mixed Number Form	`1 25/48`
Decimal Form	`1.520833`
Percentage	`152.0833%`

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Frequently Asked Questions

What is 146/96 in simplest form?

146/96 simplified to lowest terms is 73/48.

What is the GCD (GCF) of 146 and 96?

The Greatest Common Divisor (GCD) of 146 and 96 is 2.

What are equivalent fractions to 146/96?

Equivalent fractions to 146/96 include 146/96, 219/144, and 292/192.