Simplify 74/288 to Lowest Terms
74/288 simplified to its lowest terms is 37/144 (or 0.256944 in decimal). See how to reduce 74/288 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/288 = 37/144
Simplified Fraction
37/144
Mixed Number
Proper (37/144)
Decimal Value
0.256944
Percentage
25.6944%
Step-by-Step Solution: 74/288 = 37/144
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 288:
• Factors of 74:
1, 2, 37, 74• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(74, 288) = 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 (288) by 2.
74 ÷ 2/288 ÷ 2 = 37/144
Visual Representation
The diagram below illustrates Simplify 74/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/144 |
| Mixed Number Form | 37/144 |
| Decimal Form | 0.256944 |
| Percentage | 25.6944% |
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Frequently Asked Questions
What is 74/288 in simplest form?
74/288 simplified to lowest terms is 37/144.
What is the GCD (GCF) of 74 and 288?
The Greatest Common Divisor (GCD) of 74 and 288 is 2.
What are equivalent fractions to 74/288?
Equivalent fractions to 74/288 include 74/288, 111/432, and 148/576.