Simplify 72/340 to Lowest Terms
72/340 simplified to its lowest terms is 18/85 (or 0.211765 in decimal). See how to reduce 72/340 using Greatest Common Divisor (GCD = 4).
Exact Answer
72/340 = 18/85
Simplified Fraction
18/85
Mixed Number
Proper (18/85)
Decimal Value
0.211765
Percentage
21.1765%
Step-by-Step Solution: 72/340 = 18/85
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 340:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 340:
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD(72, 340) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (72) and denominator (340) by 4.
72 ÷ 4/340 ÷ 4 = 18/85
Visual Representation
The diagram below illustrates Simplify 72/340 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 18/85 |
| Mixed Number Form | 18/85 |
| Decimal Form | 0.211765 |
| Percentage | 21.1765% |
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Frequently Asked Questions
What is 72/340 in simplest form?
72/340 simplified to lowest terms is 18/85.
What is the GCD (GCF) of 72 and 340?
The Greatest Common Divisor (GCD) of 72 and 340 is 4.
What are equivalent fractions to 72/340?
Equivalent fractions to 72/340 include 36/170, 54/255, and 72/340.