Simplify 40/100 to Lowest Terms
40/100 simplified to its lowest terms is 2/5 (or 0.4 in decimal). See how to reduce 40/100 using Greatest Common Divisor (GCD = 20).
Exact Answer
40/100 = 2/5
Simplified Fraction
2/5
Mixed Number
Proper (2/5)
Decimal Value
0.4
Percentage
40%
Step-by-Step Solution: 40/100 = 2/5
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 100:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 100:
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD(40, 100) = 20
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (40) and denominator (100) by 20.
40 ÷ 20/100 ÷ 20 = 2/5
Visual Representation
The diagram below illustrates Simplify 40/100 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/5 |
| Mixed Number Form | 2/5 |
| Decimal Form | 0.4 |
| Percentage | 40% |
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Frequently Asked Questions
What is 40/100 in simplest form?
40/100 simplified to lowest terms is 2/5.
What is the GCD (GCF) of 40 and 100?
The Greatest Common Divisor (GCD) of 40 and 100 is 20.
What are equivalent fractions to 40/100?
Equivalent fractions to 40/100 include 4/10, 6/15, and 8/20.