Simplify 46/144 to Lowest Terms
46/144 simplified to its lowest terms is 23/72 (or 0.319444 in decimal). See how to reduce 46/144 using Greatest Common Divisor (GCD = 2).
Exact Answer
46/144 = 23/72
Simplified Fraction
23/72
Mixed Number
Proper (23/72)
Decimal Value
0.319444
Percentage
31.9444%
Step-by-Step Solution: 46/144 = 23/72
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 46:
• Factors of 144:
• Factors of 46:
1, 2, 23, 46• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD(46, 144) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (46) and denominator (144) by 2.
46 ÷ 2/144 ÷ 2 = 23/72
Visual Representation
The diagram below illustrates Simplify 46/144 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 23/72 |
| Mixed Number Form | 23/72 |
| Decimal Form | 0.319444 |
| Percentage | 31.9444% |
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Frequently Asked Questions
What is 46/144 in simplest form?
46/144 simplified to lowest terms is 23/72.
What is the GCD (GCF) of 46 and 144?
The Greatest Common Divisor (GCD) of 46 and 144 is 2.
What are equivalent fractions to 46/144?
Equivalent fractions to 46/144 include 46/144, 69/216, and 92/288.