What is 52/48 Simplified? (Reduce 52/48 to Lowest Terms: 13/12)

Exact Answer

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Problem: Simplify 52/48 to Lowest Terms
Formula / Expression: 52/48 = 13/12
Final Answer: 1 1/12 (13/12)
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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 52: 1, 2, 4, 13, 26, 52
• Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Working: GCD(52, 48) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (52) and denominator (48) by 4.
Working: 52 ÷ 4/48 ÷ 4 = 13/12

Step 3: Convert Improper Fraction to a Mixed Number
Because 13 is larger than 12, 13/12 can also be written as the mixed number 1 1/12.
Working: 13/12 = 1 1/12

Key Values:
- Simplified Fraction: 13/12
- Mixed Number Form: 1 1/12
- Decimal Value: 1.083333
- Percentage: 108.3333%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-52-48/
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52/48 = 13/12

Simplified Fraction

13/12

Mixed Number

1 1/12

Decimal Value

1.083333

Percentage

108.3333%

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Step-by-Step Solution: 52/48 = 13/12

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 52: 1, 2, 4, 13, 26, 52
• Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

GCD(52, 48) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (52) and denominator (48) by 4.

52 ÷ 4/48 ÷ 4 = 13/12

Step 3

Convert Improper Fraction to a Mixed Number

Because 13 is larger than 12, 13/12 can also be written as the mixed number 1 1/12.

13/12 = 11/12

Visual Representation

The diagram below illustrates Simplify 52/48 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/12`
Mixed Number Form	`1 1/12`
Decimal Form	`1.083333`
Percentage	`108.3333%`

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Frequently Asked Questions

What is 52/48 in simplest form?

52/48 simplified to lowest terms is 13/12.

What is the GCD (GCF) of 52 and 48?

The Greatest Common Divisor (GCD) of 52 and 48 is 4.

What are equivalent fractions to 52/48?

Equivalent fractions to 52/48 include 26/24, 39/36, and 52/48.