Simplify 74/180 to Lowest Terms
74/180 simplified to its lowest terms is 37/90 (or 0.411111 in decimal). See how to reduce 74/180 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/180 = 37/90
Simplified Fraction
37/90
Mixed Number
Proper (37/90)
Decimal Value
0.411111
Percentage
41.1111%
Step-by-Step Solution: 74/180 = 37/90
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 180:
• Factors of 74:
1, 2, 37, 74• Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60
GCD(74, 180) = 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 (180) by 2.
74 ÷ 2/180 ÷ 2 = 37/90
Visual Representation
The diagram below illustrates Simplify 74/180 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/90 |
| Mixed Number Form | 37/90 |
| Decimal Form | 0.411111 |
| Percentage | 41.1111% |
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Frequently Asked Questions
What is 74/180 in simplest form?
74/180 simplified to lowest terms is 37/90.
What is the GCD (GCF) of 74 and 180?
The Greatest Common Divisor (GCD) of 74 and 180 is 2.
What are equivalent fractions to 74/180?
Equivalent fractions to 74/180 include 74/180, 111/270, and 148/360.