Simplify 76/290 to Lowest Terms
76/290 simplified to its lowest terms is 38/145 (or 0.262069 in decimal). See how to reduce 76/290 using Greatest Common Divisor (GCD = 2).
Exact Answer
76/290 = 38/145
Simplified Fraction
38/145
Mixed Number
Proper (38/145)
Decimal Value
0.262069
Percentage
26.2069%
Step-by-Step Solution: 76/290 = 38/145
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 290:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 290:
1, 2, 5, 10, 29, 58, 145, 290
GCD(76, 290) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (76) and denominator (290) by 2.
76 ÷ 2/290 ÷ 2 = 38/145
Visual Representation
The diagram below illustrates Simplify 76/290 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 38/145 |
| Mixed Number Form | 38/145 |
| Decimal Form | 0.262069 |
| Percentage | 26.2069% |
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Frequently Asked Questions
What is 76/290 in simplest form?
76/290 simplified to lowest terms is 38/145.
What is the GCD (GCF) of 76 and 290?
The Greatest Common Divisor (GCD) of 76 and 290 is 2.
What are equivalent fractions to 76/290?
Equivalent fractions to 76/290 include 76/290, 114/435, and 152/580.