Simplify 74/212 to Lowest Terms
74/212 simplified to its lowest terms is 37/106 (or 0.349057 in decimal). See how to reduce 74/212 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/212 = 37/106
Simplified Fraction
37/106
Mixed Number
Proper (37/106)
Decimal Value
0.349057
Percentage
34.9057%
Step-by-Step Solution: 74/212 = 37/106
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 212:
• Factors of 74:
1, 2, 37, 74• Factors of 212:
1, 2, 4, 53, 106, 212
GCD(74, 212) = 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 (212) by 2.
74 ÷ 2/212 ÷ 2 = 37/106
Visual Representation
The diagram below illustrates Simplify 74/212 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/106 |
| Mixed Number Form | 37/106 |
| Decimal Form | 0.349057 |
| Percentage | 34.9057% |
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Frequently Asked Questions
What is 74/212 in simplest form?
74/212 simplified to lowest terms is 37/106.
What is the GCD (GCF) of 74 and 212?
The Greatest Common Divisor (GCD) of 74 and 212 is 2.
What are equivalent fractions to 74/212?
Equivalent fractions to 74/212 include 74/212, 111/318, and 148/424.