Simplify 7424/6790 to Lowest Terms
7424/6790 simplified to its lowest terms is 3712/3395 (or 1.093373 in decimal). See how to reduce 7424/6790 using Greatest Common Divisor (GCD = 2).
Exact Answer
7424/6790 = 3712/3395
Simplified Fraction
3712/3395
Mixed Number
1 317/3395
Decimal Value
1.093373
Percentage
109.3373%
Step-by-Step Solution: 7424/6790 = 3712/3395
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 7424:
• Factors of 6790:
• Factors of 7424:
1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856• Factors of 6790:
1, 2, 5, 7, 10, 14, 35, 70, 97, 194, 485, 679, 970, 1358, 3395, 6790
GCD(7424, 6790) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (7424) and denominator (6790) by 2.
7424 ÷ 2/6790 ÷ 2 = 3712/3395
Step 3
Convert Improper Fraction to a Mixed Number
Because 3712 is larger than 3395, 3712/3395 can also be written as the mixed number 1 317/3395.
3712/3395 = 1317/3395
Visual Representation
The diagram below illustrates Simplify 7424/6790 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3712/3395 |
| Mixed Number Form | 1 317/3395 |
| Decimal Form | 1.093373 |
| Percentage | 109.3373% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 7424/6790 in simplest form?
7424/6790 simplified to lowest terms is 3712/3395.
What is the GCD (GCF) of 7424 and 6790?
The Greatest Common Divisor (GCD) of 7424 and 6790 is 2.
What are equivalent fractions to 7424/6790?
Equivalent fractions to 7424/6790 include 7424/6790, 11136/10185, and 14848/13580.