What is 1508/1432 Simplified? (Reduce 1508/1432 to Lowest Terms: 377/358)

Exact Answer

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Problem: Simplify 1508/1432 to Lowest Terms
Formula / Expression: 1508/1432 = 377/358
Final Answer: 1 19/358 (377/358)
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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 1508: 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
• Factors of 1432: 1, 2, 4, 8, 179, 358, 716, 1432
Working: GCD(1508, 1432) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1508) and denominator (1432) by 4.
Working: 1508 ÷ 4/1432 ÷ 4 = 377/358

Step 3: Convert Improper Fraction to a Mixed Number
Because 377 is larger than 358, 377/358 can also be written as the mixed number 1 19/358.
Working: 377/358 = 1 19/358

Key Values:
- Simplified Fraction: 377/358
- Mixed Number Form: 1 19/358
- Decimal Value: 1.053073
- Percentage: 105.3073%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1508-1432/
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1508/1432 = 377/358

Simplified Fraction

377/358

Mixed Number

1 19/358

Decimal Value

1.053073

Percentage

105.3073%

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Step-by-Step Solution: 1508/1432 = 377/358

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1508: 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
• Factors of 1432: 1, 2, 4, 8, 179, 358, 716, 1432

GCD(1508, 1432) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1508) and denominator (1432) by 4.

1508 ÷ 4/1432 ÷ 4 = 377/358

Step 3

Convert Improper Fraction to a Mixed Number

Because 377 is larger than 358, 377/358 can also be written as the mixed number 1 19/358.

377/358 = 119/358

Visual Representation

The diagram below illustrates Simplify 1508/1432 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`377/358`
Mixed Number Form	`1 19/358`
Decimal Form	`1.053073`
Percentage	`105.3073%`

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Frequently Asked Questions

What is 1508/1432 in simplest form?

1508/1432 simplified to lowest terms is 377/358.

What is the GCD (GCF) of 1508 and 1432?

The Greatest Common Divisor (GCD) of 1508 and 1432 is 4.

What are equivalent fractions to 1508/1432?

Equivalent fractions to 1508/1432 include 754/716, 1131/1074, and 1508/1432.