Simplify 40/150 to Lowest Terms
40/150 simplified to its lowest terms is 4/15 (or 0.266667 in decimal). See how to reduce 40/150 using Greatest Common Divisor (GCD = 10).
Exact Answer
40/150 = 4/15
Simplified Fraction
4/15
Mixed Number
Proper (4/15)
Decimal Value
0.266667
Percentage
26.6667%
Step-by-Step Solution: 40/150 = 4/15
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 150:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 150:
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD(40, 150) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (40) and denominator (150) by 10.
40 ÷ 10/150 ÷ 10 = 4/15
Visual Representation
The diagram below illustrates Simplify 40/150 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/15 |
| Mixed Number Form | 4/15 |
| Decimal Form | 0.266667 |
| Percentage | 26.6667% |
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Frequently Asked Questions
What is 40/150 in simplest form?
40/150 simplified to lowest terms is 4/15.
What is the GCD (GCF) of 40 and 150?
The Greatest Common Divisor (GCD) of 40 and 150 is 10.
What are equivalent fractions to 40/150?
Equivalent fractions to 40/150 include 8/30, 12/45, and 16/60.