Simplify 72/210 to Lowest Terms
72/210 simplified to its lowest terms is 12/35 (or 0.342857 in decimal). See how to reduce 72/210 using Greatest Common Divisor (GCD = 6).
Exact Answer
72/210 = 12/35
Simplified Fraction
12/35
Mixed Number
Proper (12/35)
Decimal Value
0.342857
Percentage
34.2857%
Step-by-Step Solution: 72/210 = 12/35
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 210:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 210:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
GCD(72, 210) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (72) and denominator (210) by 6.
72 ÷ 6/210 ÷ 6 = 12/35
Visual Representation
The diagram below illustrates Simplify 72/210 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 12/35 |
| Mixed Number Form | 12/35 |
| Decimal Form | 0.342857 |
| Percentage | 34.2857% |
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Frequently Asked Questions
What is 72/210 in simplest form?
72/210 simplified to lowest terms is 12/35.
What is the GCD (GCF) of 72 and 210?
The Greatest Common Divisor (GCD) of 72 and 210 is 6.
What are equivalent fractions to 72/210?
Equivalent fractions to 72/210 include 24/70, 36/105, and 48/140.