Simplify 7440/6790 to Lowest Terms
7440/6790 simplified to its lowest terms is 744/679 (or 1.095729 in decimal). See how to reduce 7440/6790 using Greatest Common Divisor (GCD = 10).
Exact Answer
7440/6790 = 744/679
Simplified Fraction
744/679
Mixed Number
1 65/679
Decimal Value
1.095729
Percentage
109.5729%
Step-by-Step Solution: 7440/6790 = 744/679
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 7440:
• Factors of 6790:
• Factors of 7440:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40• Factors of 6790:
1, 2, 5, 7, 10, 14, 35, 70, 97, 194, 485, 679, 970, 1358, 3395, 6790
GCD(7440, 6790) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (7440) and denominator (6790) by 10.
7440 ÷ 10/6790 ÷ 10 = 744/679
Step 3
Convert Improper Fraction to a Mixed Number
Because 744 is larger than 679, 744/679 can also be written as the mixed number 1 65/679.
744/679 = 165/679
Visual Representation
The diagram below illustrates Simplify 7440/6790 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 744/679 |
| Mixed Number Form | 1 65/679 |
| Decimal Form | 1.095729 |
| Percentage | 109.5729% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 7440/6790 in simplest form?
7440/6790 simplified to lowest terms is 744/679.
What is the GCD (GCF) of 7440 and 6790?
The Greatest Common Divisor (GCD) of 7440 and 6790 is 10.
What are equivalent fractions to 7440/6790?
Equivalent fractions to 7440/6790 include 1488/1358, 2232/2037, and 2976/2716.