What is 1152/420 Simplified? (Reduce 1152/420 to Lowest Terms: 96/35)

Exact Answer

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Problem: Simplify 1152/420 to Lowest Terms
Formula / Expression: 1152/420 = 96/35
Final Answer: 2 26/35 (96/35)
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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 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
Working: GCD(1152, 420) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1152) and denominator (420) by 12.
Working: 1152 ÷ 12/420 ÷ 12 = 96/35

Step 3: Convert Improper Fraction to a Mixed Number
Because 96 is larger than 35, 96/35 can also be written as the mixed number 2 26/35.
Working: 96/35 = 2 26/35

Key Values:
- Simplified Fraction: 96/35
- Mixed Number Form: 2 26/35
- Decimal Value: 2.742857
- Percentage: 274.2857%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1152-420/
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1152/420 = 96/35

Simplified Fraction

96/35

Mixed Number

2 26/35

Decimal Value

2.742857

Percentage

274.2857%

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Step-by-Step Solution: 1152/420 = 96/35

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35

GCD(1152, 420) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1152) and denominator (420) by 12.

1152 ÷ 12/420 ÷ 12 = 96/35

Step 3

Convert Improper Fraction to a Mixed Number

Because 96 is larger than 35, 96/35 can also be written as the mixed number 2 26/35.

96/35 = 226/35

Visual Representation

The diagram below illustrates Simplify 1152/420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`96/35`
Mixed Number Form	`2 26/35`
Decimal Form	`2.742857`
Percentage	`274.2857%`

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Frequently Asked Questions

What is 1152/420 in simplest form?

1152/420 simplified to lowest terms is 96/35.

What is the GCD (GCF) of 1152 and 420?

The Greatest Common Divisor (GCD) of 1152 and 420 is 12.

What are equivalent fractions to 1152/420?

Equivalent fractions to 1152/420 include 192/70, 288/105, and 384/140.