What is 1088/762 Simplified? (Reduce 1088/762 to Lowest Terms: 544/381)

Exact Answer

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Problem: Simplify 1088/762 to Lowest Terms
Formula / Expression: 1088/762 = 544/381
Final Answer: 1 163/381 (544/381)
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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 762: 1, 2, 3, 6, 127, 254, 381, 762
Working: GCD(1088, 762) = 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 (762) by 2.
Working: 1088 ÷ 2/762 ÷ 2 = 544/381

Step 3: Convert Improper Fraction to a Mixed Number
Because 544 is larger than 381, 544/381 can also be written as the mixed number 1 163/381.
Working: 544/381 = 1 163/381

Key Values:
- Simplified Fraction: 544/381
- Mixed Number Form: 1 163/381
- Decimal Value: 1.427822
- Percentage: 142.7822%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1088-762/
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1088/762 = 544/381

Simplified Fraction

544/381

Mixed Number

1 163/381

Decimal Value

1.427822

Percentage

142.7822%

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Step-by-Step Solution: 1088/762 = 544/381

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 762: 1, 2, 3, 6, 127, 254, 381, 762

GCD(1088, 762) = 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 (762) by 2.

1088 ÷ 2/762 ÷ 2 = 544/381

Step 3

Convert Improper Fraction to a Mixed Number

Because 544 is larger than 381, 544/381 can also be written as the mixed number 1 163/381.

544/381 = 1163/381

Visual Representation

The diagram below illustrates Simplify 1088/762 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`544/381`
Mixed Number Form	`1 163/381`
Decimal Form	`1.427822`
Percentage	`142.7822%`

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Frequently Asked Questions

What is 1088/762 in simplest form?

1088/762 simplified to lowest terms is 544/381.

What is the GCD (GCF) of 1088 and 762?

The Greatest Common Divisor (GCD) of 1088 and 762 is 2.

What are equivalent fractions to 1088/762?

Equivalent fractions to 1088/762 include 1088/762, 1632/1143, and 2176/1524.