Simplify 74/360 to Lowest Terms
74/360 simplified to its lowest terms is 37/180 (or 0.205556 in decimal). See how to reduce 74/360 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/360 = 37/180
Simplified Fraction
37/180
Mixed Number
Proper (37/180)
Decimal Value
0.205556
Percentage
20.5556%
Step-by-Step Solution: 74/360 = 37/180
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 360:
• Factors of 74:
1, 2, 37, 74• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36
GCD(74, 360) = 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 (360) by 2.
74 ÷ 2/360 ÷ 2 = 37/180
Visual Representation
The diagram below illustrates Simplify 74/360 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/180 |
| Mixed Number Form | 37/180 |
| Decimal Form | 0.205556 |
| Percentage | 20.5556% |
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Frequently Asked Questions
What is 74/360 in simplest form?
74/360 simplified to lowest terms is 37/180.
What is the GCD (GCF) of 74 and 360?
The Greatest Common Divisor (GCD) of 74 and 360 is 2.
What are equivalent fractions to 74/360?
Equivalent fractions to 74/360 include 74/360, 111/540, and 148/720.