Simplify 84/210 to Lowest Terms
84/210 simplified to its lowest terms is 2/5 (or 0.4 in decimal). See how to reduce 84/210 using Greatest Common Divisor (GCD = 42).
Exact Answer
84/210 = 2/5
Simplified Fraction
2/5
Mixed Number
Proper (2/5)
Decimal Value
0.4
Percentage
40%
Step-by-Step Solution: 84/210 = 2/5
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 210:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 210:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
GCD(84, 210) = 42
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 42. Divide both the numerator (84) and denominator (210) by 42.
84 ÷ 42/210 ÷ 42 = 2/5
Visual Representation
The diagram below illustrates Simplify 84/210 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/5 |
| Mixed Number Form | 2/5 |
| Decimal Form | 0.4 |
| Percentage | 40% |
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Frequently Asked Questions
What is 84/210 in simplest form?
84/210 simplified to lowest terms is 2/5.
What is the GCD (GCF) of 84 and 210?
The Greatest Common Divisor (GCD) of 84 and 210 is 42.
What are equivalent fractions to 84/210?
Equivalent fractions to 84/210 include 4/10, 6/15, and 8/20.