Simplify 40/210 to Lowest Terms
40/210 simplified to its lowest terms is 4/21 (or 0.190476 in decimal). See how to reduce 40/210 using Greatest Common Divisor (GCD = 10).
Exact Answer
40/210 = 4/21
Simplified Fraction
4/21
Mixed Number
Proper (4/21)
Decimal Value
0.190476
Percentage
19.0476%
Step-by-Step Solution: 40/210 = 4/21
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 210:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 210:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
GCD(40, 210) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (40) and denominator (210) by 10.
40 ÷ 10/210 ÷ 10 = 4/21
Visual Representation
The diagram below illustrates Simplify 40/210 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/21 |
| Mixed Number Form | 4/21 |
| Decimal Form | 0.190476 |
| Percentage | 19.0476% |
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Frequently Asked Questions
What is 40/210 in simplest form?
40/210 simplified to lowest terms is 4/21.
What is the GCD (GCF) of 40 and 210?
The Greatest Common Divisor (GCD) of 40 and 210 is 10.
What are equivalent fractions to 40/210?
Equivalent fractions to 40/210 include 8/42, 12/63, and 16/84.