Simplify 90/420 to Lowest Terms
90/420 simplified to its lowest terms is 3/14 (or 0.214286 in decimal). See how to reduce 90/420 using Greatest Common Divisor (GCD = 30).
Exact Answer
90/420 = 3/14
Simplified Fraction
3/14
Mixed Number
Proper (3/14)
Decimal Value
0.214286
Percentage
21.4286%
Step-by-Step Solution: 90/420 = 3/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 90:
• Factors of 420:
• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(90, 420) = 30
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (90) and denominator (420) by 30.
90 ÷ 30/420 ÷ 30 = 3/14
Visual Representation
The diagram below illustrates Simplify 90/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/14 |
| Mixed Number Form | 3/14 |
| Decimal Form | 0.214286 |
| Percentage | 21.4286% |
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Frequently Asked Questions
What is 90/420 in simplest form?
90/420 simplified to lowest terms is 3/14.
What is the GCD (GCF) of 90 and 420?
The Greatest Common Divisor (GCD) of 90 and 420 is 30.
What are equivalent fractions to 90/420?
Equivalent fractions to 90/420 include 6/28, 9/42, and 12/56.