Simplify 7488/6970 to Lowest Terms
7488/6970 simplified to its lowest terms is 3744/3485 (or 1.074319 in decimal). See how to reduce 7488/6970 using Greatest Common Divisor (GCD = 2).
Exact Answer
7488/6970 = 3744/3485
Simplified Fraction
3744/3485
Mixed Number
1 259/3485
Decimal Value
1.074319
Percentage
107.4319%
Step-by-Step Solution: 7488/6970 = 3744/3485
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 7488:
• Factors of 6970:
• Factors of 7488:
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39• Factors of 6970:
1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970
GCD(7488, 6970) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (7488) and denominator (6970) by 2.
7488 ÷ 2/6970 ÷ 2 = 3744/3485
Step 3
Convert Improper Fraction to a Mixed Number
Because 3744 is larger than 3485, 3744/3485 can also be written as the mixed number 1 259/3485.
3744/3485 = 1259/3485
Visual Representation
The diagram below illustrates Simplify 7488/6970 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3744/3485 |
| Mixed Number Form | 1 259/3485 |
| Decimal Form | 1.074319 |
| Percentage | 107.4319% |
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Frequently Asked Questions
What is 7488/6970 in simplest form?
7488/6970 simplified to lowest terms is 3744/3485.
What is the GCD (GCF) of 7488 and 6970?
The Greatest Common Divisor (GCD) of 7488 and 6970 is 2.
What are equivalent fractions to 7488/6970?
Equivalent fractions to 7488/6970 include 7488/6970, 11232/10455, and 14976/13940.