Simplify 74/144 to Lowest Terms
74/144 simplified to its lowest terms is 37/72 (or 0.513889 in decimal). See how to reduce 74/144 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/144 = 37/72
Simplified Fraction
37/72
Mixed Number
Proper (37/72)
Decimal Value
0.513889
Percentage
51.3889%
Step-by-Step Solution: 74/144 = 37/72
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 144:
• Factors of 74:
1, 2, 37, 74• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD(74, 144) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (144) by 2.
74 ÷ 2/144 ÷ 2 = 37/72
Visual Representation
The diagram below illustrates Simplify 74/144 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/72 |
| Mixed Number Form | 37/72 |
| Decimal Form | 0.513889 |
| Percentage | 51.3889% |
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Frequently Asked Questions
What is 74/144 in simplest form?
74/144 simplified to lowest terms is 37/72.
What is the GCD (GCF) of 74 and 144?
The Greatest Common Divisor (GCD) of 74 and 144 is 2.
What are equivalent fractions to 74/144?
Equivalent fractions to 74/144 include 74/144, 111/216, and 148/288.