Simplify 72/290 to Lowest Terms
72/290 simplified to its lowest terms is 36/145 (or 0.248276 in decimal). See how to reduce 72/290 using Greatest Common Divisor (GCD = 2).
Exact Answer
72/290 = 36/145
Simplified Fraction
36/145
Mixed Number
Proper (36/145)
Decimal Value
0.248276
Percentage
24.8276%
Step-by-Step Solution: 72/290 = 36/145
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 290:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 290:
1, 2, 5, 10, 29, 58, 145, 290
GCD(72, 290) = 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 (290) by 2.
72 ÷ 2/290 ÷ 2 = 36/145
Visual Representation
The diagram below illustrates Simplify 72/290 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 36/145 |
| Mixed Number Form | 36/145 |
| Decimal Form | 0.248276 |
| Percentage | 24.8276% |
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Frequently Asked Questions
What is 72/290 in simplest form?
72/290 simplified to lowest terms is 36/145.
What is the GCD (GCF) of 72 and 290?
The Greatest Common Divisor (GCD) of 72 and 290 is 2.
What are equivalent fractions to 72/290?
Equivalent fractions to 72/290 include 72/290, 108/435, and 144/580.