Simplify 40/38 to Lowest Terms
40/38 simplified to its lowest terms is 20/19 (or 1.052632 in decimal). See how to reduce 40/38 using Greatest Common Divisor (GCD = 2).
Exact Answer
40/38 = 20/19
Simplified Fraction
20/19
Mixed Number
1 1/19
Decimal Value
1.052632
Percentage
105.2632%
Step-by-Step Solution: 40/38 = 20/19
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 38:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 38:
1, 2, 19, 38
GCD(40, 38) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (40) and denominator (38) by 2.
40 ÷ 2/38 ÷ 2 = 20/19
Step 3
Convert Improper Fraction to a Mixed Number
Because 20 is larger than 19, 20/19 can also be written as the mixed number 1 1/19.
20/19 = 11/19
Visual Representation
The diagram below illustrates Simplify 40/38 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 20/19 |
| Mixed Number Form | 1 1/19 |
| Decimal Form | 1.052632 |
| Percentage | 105.2632% |
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Frequently Asked Questions
What is 40/38 in simplest form?
40/38 simplified to lowest terms is 20/19.
What is the GCD (GCF) of 40 and 38?
The Greatest Common Divisor (GCD) of 40 and 38 is 2.
What are equivalent fractions to 40/38?
Equivalent fractions to 40/38 include 40/38, 60/57, and 80/76.