Simplify 3680/3370 to Lowest Terms
3680/3370 simplified to its lowest terms is 368/337 (or 1.091988 in decimal). See how to reduce 3680/3370 using Greatest Common Divisor (GCD = 10).
Exact Answer
3680/3370 = 368/337
Simplified Fraction
368/337
Mixed Number
1 31/337
Decimal Value
1.091988
Percentage
109.1988%
Step-by-Step Solution: 3680/3370 = 368/337
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 3680:
โข Factors of 3370:
โข Factors of 3680:
1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160โข Factors of 3370:
1, 2, 5, 10, 337, 674, 1685, 3370
GCD(3680, 3370) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (3680) and denominator (3370) by 10.
3680 รท 10/3370 รท 10 = 368/337
Step 3
Convert Improper Fraction to a Mixed Number
Because 368 is larger than 337, 368/337 can also be written as the mixed number 1 31/337.
368/337 = 131/337
Visual Representation
The diagram below illustrates Simplify 3680/3370 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 368/337 |
| Mixed Number Form | 1 31/337 |
| Decimal Form | 1.091988 |
| Percentage | 109.1988% |
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Frequently Asked Questions
What is 3680/3370 in simplest form?
3680/3370 simplified to lowest terms is 368/337.
What is the GCD (GCF) of 3680 and 3370?
The Greatest Common Divisor (GCD) of 3680 and 3370 is 10.
What are equivalent fractions to 3680/3370?
Equivalent fractions to 3680/3370 include 736/674, 1104/1011, and 1472/1348.