What is 1088/378 Simplified? (Reduce 1088/378 to Lowest Terms: 544/189)

Exact Answer

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Problem: Simplify 1088/378 to Lowest Terms
Formula / Expression: 1088/378 = 544/189
Final Answer: 2 166/189 (544/189)
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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 1088: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088
• Factors of 378: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Working: GCD(1088, 378) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1088) and denominator (378) by 2.
Working: 1088 ÷ 2/378 ÷ 2 = 544/189

Step 3: Convert Improper Fraction to a Mixed Number
Because 544 is larger than 189, 544/189 can also be written as the mixed number 2 166/189.
Working: 544/189 = 2 166/189

Key Values:
- Simplified Fraction: 544/189
- Mixed Number Form: 2 166/189
- Decimal Value: 2.878307
- Percentage: 287.8307%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1088-378/
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1088/378 = 544/189

Simplified Fraction

544/189

Mixed Number

2 166/189

Decimal Value

2.878307

Percentage

287.8307%

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Step-by-Step Solution: 1088/378 = 544/189

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1088: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088
• Factors of 378: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD(1088, 378) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1088) and denominator (378) by 2.

1088 ÷ 2/378 ÷ 2 = 544/189

Step 3

Convert Improper Fraction to a Mixed Number

Because 544 is larger than 189, 544/189 can also be written as the mixed number 2 166/189.

544/189 = 2166/189

Visual Representation

The diagram below illustrates Simplify 1088/378 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`544/189`
Mixed Number Form	`2 166/189`
Decimal Form	`2.878307`
Percentage	`287.8307%`

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Frequently Asked Questions

What is 1088/378 in simplest form?

1088/378 simplified to lowest terms is 544/189.

What is the GCD (GCF) of 1088 and 378?

The Greatest Common Divisor (GCD) of 1088 and 378 is 2.

What are equivalent fractions to 1088/378?

Equivalent fractions to 1088/378 include 1088/378, 1632/567, and 2176/756.