What is 1096/742 Simplified? (Reduce 1096/742 to Lowest Terms: 548/371)

Exact Answer

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Problem: Simplify 1096/742 to Lowest Terms
Formula / Expression: 1096/742 = 548/371
Final Answer: 1 177/371 (548/371)
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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 1096: 1, 2, 4, 8, 137, 274, 548, 1096
• Factors of 742: 1, 2, 7, 14, 53, 106, 371, 742
Working: GCD(1096, 742) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1096) and denominator (742) by 2.
Working: 1096 ÷ 2/742 ÷ 2 = 548/371

Step 3: Convert Improper Fraction to a Mixed Number
Because 548 is larger than 371, 548/371 can also be written as the mixed number 1 177/371.
Working: 548/371 = 1 177/371

Key Values:
- Simplified Fraction: 548/371
- Mixed Number Form: 1 177/371
- Decimal Value: 1.477089
- Percentage: 147.7089%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1096-742/
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1096/742 = 548/371

Simplified Fraction

548/371

Mixed Number

1 177/371

Decimal Value

1.477089

Percentage

147.7089%

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Step-by-Step Solution: 1096/742 = 548/371

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1096: 1, 2, 4, 8, 137, 274, 548, 1096
• Factors of 742: 1, 2, 7, 14, 53, 106, 371, 742

GCD(1096, 742) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1096) and denominator (742) by 2.

1096 ÷ 2/742 ÷ 2 = 548/371

Step 3

Convert Improper Fraction to a Mixed Number

Because 548 is larger than 371, 548/371 can also be written as the mixed number 1 177/371.

548/371 = 1177/371

Visual Representation

The diagram below illustrates Simplify 1096/742 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`548/371`
Mixed Number Form	`1 177/371`
Decimal Form	`1.477089`
Percentage	`147.7089%`

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Frequently Asked Questions

What is 1096/742 in simplest form?

1096/742 simplified to lowest terms is 548/371.

What is the GCD (GCF) of 1096 and 742?

The Greatest Common Divisor (GCD) of 1096 and 742 is 2.

What are equivalent fractions to 1096/742?

Equivalent fractions to 1096/742 include 1096/742, 1644/1113, and 2192/1484.