Simplify 40/208 to Lowest Terms
40/208 simplified to its lowest terms is 5/26 (or 0.192308 in decimal). See how to reduce 40/208 using Greatest Common Divisor (GCD = 8).
Exact Answer
40/208 = 5/26
Simplified Fraction
5/26
Mixed Number
Proper (5/26)
Decimal Value
0.192308
Percentage
19.2308%
Step-by-Step Solution: 40/208 = 5/26
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 208:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD(40, 208) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (40) and denominator (208) by 8.
40 ÷ 8/208 ÷ 8 = 5/26
Visual Representation
The diagram below illustrates Simplify 40/208 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/26 |
| Mixed Number Form | 5/26 |
| Decimal Form | 0.192308 |
| Percentage | 19.2308% |
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Frequently Asked Questions
What is 40/208 in simplest form?
40/208 simplified to lowest terms is 5/26.
What is the GCD (GCF) of 40 and 208?
The Greatest Common Divisor (GCD) of 40 and 208 is 8.
What are equivalent fractions to 40/208?
Equivalent fractions to 40/208 include 10/52, 15/78, and 20/104.