Simplify 72/170 to Lowest Terms
72/170 simplified to its lowest terms is 36/85 (or 0.423529 in decimal). See how to reduce 72/170 using Greatest Common Divisor (GCD = 2).
Exact Answer
72/170 = 36/85
Simplified Fraction
36/85
Mixed Number
Proper (36/85)
Decimal Value
0.423529
Percentage
42.3529%
Step-by-Step Solution: 72/170 = 36/85
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 170:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 170:
1, 2, 5, 10, 17, 34, 85, 170
GCD(72, 170) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (170) by 2.
72 ÷ 2/170 ÷ 2 = 36/85
Visual Representation
The diagram below illustrates Simplify 72/170 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 36/85 |
| Mixed Number Form | 36/85 |
| Decimal Form | 0.423529 |
| Percentage | 42.3529% |
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Frequently Asked Questions
What is 72/170 in simplest form?
72/170 simplified to lowest terms is 36/85.
What is the GCD (GCF) of 72 and 170?
The Greatest Common Divisor (GCD) of 72 and 170 is 2.
What are equivalent fractions to 72/170?
Equivalent fractions to 72/170 include 72/170, 108/255, and 144/340.