What is 126/96 Simplified? (Reduce 126/96 to Lowest Terms: 21/16)

Exact Answer

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Problem: Simplify 126/96 to Lowest Terms
Formula / Expression: 126/96 = 21/16
Final Answer: 1 5/16 (21/16)
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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 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Working: GCD(126, 96) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (126) and denominator (96) by 6.
Working: 126 ÷ 6/96 ÷ 6 = 21/16

Step 3: Convert Improper Fraction to a Mixed Number
Because 21 is larger than 16, 21/16 can also be written as the mixed number 1 5/16.
Working: 21/16 = 1 5/16

Key Values:
- Simplified Fraction: 21/16
- Mixed Number Form: 1 5/16
- Decimal Value: 1.3125
- Percentage: 131.25%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-126-96/
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126/96 = 21/16

Simplified Fraction

21/16

Mixed Number

1 5/16

Decimal Value

1.3125

Percentage

131.25%

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Step-by-Step Solution: 126/96 = 21/16

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD(126, 96) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (126) and denominator (96) by 6.

126 ÷ 6/96 ÷ 6 = 21/16

Step 3

Convert Improper Fraction to a Mixed Number

Because 21 is larger than 16, 21/16 can also be written as the mixed number 1 5/16.

21/16 = 15/16

Visual Representation

The diagram below illustrates Simplify 126/96 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`21/16`
Mixed Number Form	`1 5/16`
Decimal Form	`1.3125`
Percentage	`131.25%`

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Frequently Asked Questions

What is 126/96 in simplest form?

126/96 simplified to lowest terms is 21/16.

What is the GCD (GCF) of 126 and 96?

The Greatest Common Divisor (GCD) of 126 and 96 is 6.

What are equivalent fractions to 126/96?

Equivalent fractions to 126/96 include 42/32, 63/48, and 84/64.