Simplify 38/40 to Lowest Terms
38/40 simplified to its lowest terms is 19/20 (or 0.95 in decimal). See how to reduce 38/40 using Greatest Common Divisor (GCD = 2).
Exact Answer
38/40 = 19/20
Simplified Fraction
19/20
Mixed Number
Proper (19/20)
Decimal Value
0.95
Percentage
95%
Step-by-Step Solution: 38/40 = 19/20
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 38:
• Factors of 40:
• Factors of 38:
1, 2, 19, 38• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40
GCD(38, 40) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (38) and denominator (40) by 2.
38 ÷ 2/40 ÷ 2 = 19/20
Visual Representation
The diagram below illustrates Simplify 38/40 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 19/20 |
| Mixed Number Form | 19/20 |
| Decimal Form | 0.95 |
| Percentage | 95% |
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Frequently Asked Questions
What is 38/40 in simplest form?
38/40 simplified to lowest terms is 19/20.
What is the GCD (GCF) of 38 and 40?
The Greatest Common Divisor (GCD) of 38 and 40 is 2.
What are equivalent fractions to 38/40?
Equivalent fractions to 38/40 include 38/40, 57/60, and 76/80.