Simplify 98/72 to Lowest Terms
98/72 simplified to its lowest terms is 49/36 (or 1.361111 in decimal). See how to reduce 98/72 using Greatest Common Divisor (GCD = 2).
Exact Answer
98/72 = 49/36
Simplified Fraction
49/36
Mixed Number
1 13/36
Decimal Value
1.361111
Percentage
136.1111%
Step-by-Step Solution: 98/72 = 49/36
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 98:
• Factors of 72:
• Factors of 98:
1, 2, 7, 14, 49, 98• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD(98, 72) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (98) and denominator (72) by 2.
98 ÷ 2/72 ÷ 2 = 49/36
Step 3
Convert Improper Fraction to a Mixed Number
Because 49 is larger than 36, 49/36 can also be written as the mixed number 1 13/36.
49/36 = 113/36
Visual Representation
The diagram below illustrates Simplify 98/72 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 49/36 |
| Mixed Number Form | 1 13/36 |
| Decimal Form | 1.361111 |
| Percentage | 136.1111% |
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Frequently Asked Questions
What is 98/72 in simplest form?
98/72 simplified to lowest terms is 49/36.
What is the GCD (GCF) of 98 and 72?
The Greatest Common Divisor (GCD) of 98 and 72 is 2.
What are equivalent fractions to 98/72?
Equivalent fractions to 98/72 include 98/72, 147/108, and 196/144.