Simplify 40/160 to Lowest Terms
40/160 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 40/160 using Greatest Common Divisor (GCD = 40).
Exact Answer
40/160 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 40/160 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 160:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 160:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD(40, 160) = 40
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 40. Divide both the numerator (40) and denominator (160) by 40.
40 ÷ 40/160 ÷ 40 = 1/4
Visual Representation
The diagram below illustrates Simplify 40/160 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 40/160 in simplest form?
40/160 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 40 and 160?
The Greatest Common Divisor (GCD) of 40 and 160 is 40.
What are equivalent fractions to 40/160?
Equivalent fractions to 40/160 include 2/8, 3/12, and 4/16.