What is 98/84 Simplified? (Reduce 98/84 to Lowest Terms: 7/6)

Exact Answer

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Problem: Simplify 98/84 to Lowest Terms
Formula / Expression: 98/84 = 7/6
Final Answer: 1 1/6 (7/6)
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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 98: 1, 2, 7, 14, 49, 98
• Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Working: GCD(98, 84) = 14

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (98) and denominator (84) by 14.
Working: 98 ÷ 14/84 ÷ 14 = 7/6

Step 3: Convert Improper Fraction to a Mixed Number
Because 7 is larger than 6, 7/6 can also be written as the mixed number 1 1/6.
Working: 7/6 = 1 1/6

Key Values:
- Simplified Fraction: 7/6
- Mixed Number Form: 1 1/6
- Decimal Value: 1.166667
- Percentage: 116.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-98-84/
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98/84 = 7/6

Simplified Fraction

7/6

Mixed Number

1 1/6

Decimal Value

1.166667

Percentage

116.6667%

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Step-by-Step Solution: 98/84 = 7/6

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 98: 1, 2, 7, 14, 49, 98
• Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

GCD(98, 84) = 14

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 14. Divide both the numerator (98) and denominator (84) by 14.

98 ÷ 14/84 ÷ 14 = 7/6

Step 3

Convert Improper Fraction to a Mixed Number

Because 7 is larger than 6, 7/6 can also be written as the mixed number 1 1/6.

7/6 = 11/6

Visual Representation

The diagram below illustrates Simplify 98/84 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/6`
Mixed Number Form	`1 1/6`
Decimal Form	`1.166667`
Percentage	`116.6667%`

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Frequently Asked Questions

What is 98/84 in simplest form?

98/84 simplified to lowest terms is 7/6.

What is the GCD (GCF) of 98 and 84?

The Greatest Common Divisor (GCD) of 98 and 84 is 14.

What are equivalent fractions to 98/84?

Equivalent fractions to 98/84 include 14/12, 21/18, and 28/24.