Simplify 74/216 to Lowest Terms
74/216 simplified to its lowest terms is 37/108 (or 0.342593 in decimal). See how to reduce 74/216 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/216 = 37/108
Simplified Fraction
37/108
Mixed Number
Proper (37/108)
Decimal Value
0.342593
Percentage
34.2593%
Step-by-Step Solution: 74/216 = 37/108
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 216:
• Factors of 74:
1, 2, 37, 74• Factors of 216:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD(74, 216) = 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 (216) by 2.
74 ÷ 2/216 ÷ 2 = 37/108
Visual Representation
The diagram below illustrates Simplify 74/216 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/108 |
| Mixed Number Form | 37/108 |
| Decimal Form | 0.342593 |
| Percentage | 34.2593% |
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Frequently Asked Questions
What is 74/216 in simplest form?
74/216 simplified to lowest terms is 37/108.
What is the GCD (GCF) of 74 and 216?
The Greatest Common Divisor (GCD) of 74 and 216 is 2.
What are equivalent fractions to 74/216?
Equivalent fractions to 74/216 include 74/216, 111/324, and 148/432.