Simplify 120/98 to Lowest Terms
120/98 simplified to its lowest terms is 60/49 (or 1.22449 in decimal). See how to reduce 120/98 using Greatest Common Divisor (GCD = 2).
Exact Answer
120/98 = 60/49
Simplified Fraction
60/49
Mixed Number
1 11/49
Decimal Value
1.22449
Percentage
122.449%
Step-by-Step Solution: 120/98 = 60/49
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 120:
• Factors of 98:
• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120• Factors of 98:
1, 2, 7, 14, 49, 98
GCD(120, 98) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (120) and denominator (98) by 2.
120 ÷ 2/98 ÷ 2 = 60/49
Step 3
Convert Improper Fraction to a Mixed Number
Because 60 is larger than 49, 60/49 can also be written as the mixed number 1 11/49.
60/49 = 111/49
Visual Representation
The diagram below illustrates Simplify 120/98 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 60/49 |
| Mixed Number Form | 1 11/49 |
| Decimal Form | 1.22449 |
| Percentage | 122.449% |
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Frequently Asked Questions
What is 120/98 in simplest form?
120/98 simplified to lowest terms is 60/49.
What is the GCD (GCF) of 120 and 98?
The Greatest Common Divisor (GCD) of 120 and 98 is 2.
What are equivalent fractions to 120/98?
Equivalent fractions to 120/98 include 120/98, 180/147, and 240/196.