Simplify 98/420 to Lowest Terms
98/420 simplified to its lowest terms is 7/30 (or 0.233333 in decimal). See how to reduce 98/420 using Greatest Common Divisor (GCD = 14).
Exact Answer
98/420 = 7/30
Simplified Fraction
7/30
Mixed Number
Proper (7/30)
Decimal Value
0.233333
Percentage
23.3333%
Step-by-Step Solution: 98/420 = 7/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 98:
• Factors of 420:
• Factors of 98:
1, 2, 7, 14, 49, 98• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(98, 420) = 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 (420) by 14.
98 ÷ 14/420 ÷ 14 = 7/30
Visual Representation
The diagram below illustrates Simplify 98/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/30 |
| Mixed Number Form | 7/30 |
| Decimal Form | 0.233333 |
| Percentage | 23.3333% |
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Frequently Asked Questions
What is 98/420 in simplest form?
98/420 simplified to lowest terms is 7/30.
What is the GCD (GCF) of 98 and 420?
The Greatest Common Divisor (GCD) of 98 and 420 is 14.
What are equivalent fractions to 98/420?
Equivalent fractions to 98/420 include 14/60, 21/90, and 28/120.