Simplify 1148/3690 to Lowest Terms
1148/3690 simplified to its lowest terms is 14/45 (or 0.311111 in decimal). See how to reduce 1148/3690 using Greatest Common Divisor (GCD = 82).
Exact Answer
1148/3690 = 14/45
Simplified Fraction
14/45
Mixed Number
Proper (14/45)
Decimal Value
0.311111
Percentage
31.1111%
Step-by-Step Solution: 1148/3690 = 14/45
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1148:
• Factors of 3690:
• Factors of 1148:
1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148• Factors of 3690:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205
GCD(1148, 3690) = 82
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 82. Divide both the numerator (1148) and denominator (3690) by 82.
1148 ÷ 82/3690 ÷ 82 = 14/45
Visual Representation
The diagram below illustrates Simplify 1148/3690 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 14/45 |
| Mixed Number Form | 14/45 |
| Decimal Form | 0.311111 |
| Percentage | 31.1111% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 1148/3690 in simplest form?
1148/3690 simplified to lowest terms is 14/45.
What is the GCD (GCF) of 1148 and 3690?
The Greatest Common Divisor (GCD) of 1148 and 3690 is 82.
What are equivalent fractions to 1148/3690?
Equivalent fractions to 1148/3690 include 28/90, 42/135, and 56/180.