What is 492/340 Simplified? (Reduce 492/340 to Lowest Terms: 123/85)

Exact Answer

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Problem: Simplify 492/340 to Lowest Terms
Formula / Expression: 492/340 = 123/85
Final Answer: 1 38/85 (123/85)
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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 492: 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
• Factors of 340: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Working: GCD(492, 340) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (492) and denominator (340) by 4.
Working: 492 ÷ 4/340 ÷ 4 = 123/85

Step 3: Convert Improper Fraction to a Mixed Number
Because 123 is larger than 85, 123/85 can also be written as the mixed number 1 38/85.
Working: 123/85 = 1 38/85

Key Values:
- Simplified Fraction: 123/85
- Mixed Number Form: 1 38/85
- Decimal Value: 1.447059
- Percentage: 144.7059%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-492-340/
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492/340 = 123/85

Simplified Fraction

123/85

Mixed Number

1 38/85

Decimal Value

1.447059

Percentage

144.7059%

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Step-by-Step Solution: 492/340 = 123/85

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 492: 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
• Factors of 340: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD(492, 340) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (492) and denominator (340) by 4.

492 ÷ 4/340 ÷ 4 = 123/85

Step 3

Convert Improper Fraction to a Mixed Number

Because 123 is larger than 85, 123/85 can also be written as the mixed number 1 38/85.

123/85 = 138/85

Visual Representation

The diagram below illustrates Simplify 492/340 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`123/85`
Mixed Number Form	`1 38/85`
Decimal Form	`1.447059`
Percentage	`144.7059%`

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Frequently Asked Questions

What is 492/340 in simplest form?

492/340 simplified to lowest terms is 123/85.

What is the GCD (GCF) of 492 and 340?

The Greatest Common Divisor (GCD) of 492 and 340 is 4.

What are equivalent fractions to 492/340?

Equivalent fractions to 492/340 include 246/170, 369/255, and 492/340.