Simplify 40/144 to Lowest Terms
40/144 simplified to its lowest terms is 5/18 (or 0.277778 in decimal). See how to reduce 40/144 using Greatest Common Divisor (GCD = 8).
Exact Answer
40/144 = 5/18
Simplified Fraction
5/18
Mixed Number
Proper (5/18)
Decimal Value
0.277778
Percentage
27.7778%
Step-by-Step Solution: 40/144 = 5/18
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 144:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD(40, 144) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (40) and denominator (144) by 8.
40 ÷ 8/144 ÷ 8 = 5/18
Visual Representation
The diagram below illustrates Simplify 40/144 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/18 |
| Mixed Number Form | 5/18 |
| Decimal Form | 0.277778 |
| Percentage | 27.7778% |
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Frequently Asked Questions
What is 40/144 in simplest form?
40/144 simplified to lowest terms is 5/18.
What is the GCD (GCF) of 40 and 144?
The Greatest Common Divisor (GCD) of 40 and 144 is 8.
What are equivalent fractions to 40/144?
Equivalent fractions to 40/144 include 10/36, 15/54, and 20/72.