Simplify 74/108 to Lowest Terms
74/108 simplified to its lowest terms is 37/54 (or 0.685185 in decimal). See how to reduce 74/108 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/108 = 37/54
Simplified Fraction
37/54
Mixed Number
Proper (37/54)
Decimal Value
0.685185
Percentage
68.5185%
Step-by-Step Solution: 74/108 = 37/54
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 108:
• Factors of 74:
1, 2, 37, 74• Factors of 108:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD(74, 108) = 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 (108) by 2.
74 ÷ 2/108 ÷ 2 = 37/54
Visual Representation
The diagram below illustrates Simplify 74/108 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/54 |
| Mixed Number Form | 37/54 |
| Decimal Form | 0.685185 |
| Percentage | 68.5185% |
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Frequently Asked Questions
What is 74/108 in simplest form?
74/108 simplified to lowest terms is 37/54.
What is the GCD (GCF) of 74 and 108?
The Greatest Common Divisor (GCD) of 74 and 108 is 2.
What are equivalent fractions to 74/108?
Equivalent fractions to 74/108 include 74/108, 111/162, and 148/216.