What is 984/680 Simplified? (Reduce 984/680 to Lowest Terms: 123/85)

Exact Answer

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Problem: Simplify 984/680 to Lowest Terms
Formula / Expression: 984/680 = 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 984: 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
• Factors of 680: 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Working: GCD(984, 680) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (984) and denominator (680) by 8.
Working: 984 ÷ 8/680 ÷ 8 = 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-984-680/
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984/680 = 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: 984/680 = 123/85

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 984: 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
• Factors of 680: 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD(984, 680) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (984) and denominator (680) by 8.

984 ÷ 8/680 ÷ 8 = 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 984/680 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 984/680 in simplest form?

984/680 simplified to lowest terms is 123/85.

What is the GCD (GCF) of 984 and 680?

The Greatest Common Divisor (GCD) of 984 and 680 is 8.

What are equivalent fractions to 984/680?

Equivalent fractions to 984/680 include 246/170, 369/255, and 492/340.