What is 336/1480 Simplified? (Reduce 336/1480 to Lowest Terms: 42/185)

Exact Answer

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Problem: Simplify 336/1480 to Lowest Terms
Formula / Expression: 336/1480 = 42/185
Final Answer: 42/185
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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 336: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56
• Factors of 1480: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
Working: GCD(336, 1480) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (336) and denominator (1480) by 8.
Working: 336 ÷ 8/1480 ÷ 8 = 42/185

Key Values:
- Simplified Fraction: 42/185
- Mixed Number Form: 42/185
- Decimal Value: 0.227027
- Percentage: 22.7027%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-336-1480/
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336/1480 = 42/185

Simplified Fraction

42/185

Mixed Number

Proper (42/185)

Decimal Value

0.227027

Percentage

22.7027%

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Step-by-Step Solution: 336/1480 = 42/185

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 336: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56
• Factors of 1480: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480

GCD(336, 1480) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (336) and denominator (1480) by 8.

336 ÷ 8/1480 ÷ 8 = 42/185

Visual Representation

The diagram below illustrates Simplify 336/1480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`42/185`
Mixed Number Form	`42/185`
Decimal Form	`0.227027`
Percentage	`22.7027%`

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Frequently Asked Questions

What is 336/1480 in simplest form?

336/1480 simplified to lowest terms is 42/185.

What is the GCD (GCF) of 336 and 1480?

The Greatest Common Divisor (GCD) of 336 and 1480 is 8.

What are equivalent fractions to 336/1480?

Equivalent fractions to 336/1480 include 84/370, 126/555, and 168/740.