Simplify 690/588 to Lowest Terms
690/588 simplified to its lowest terms is 115/98 (or 1.173469 in decimal). See how to reduce 690/588 using Greatest Common Divisor (GCD = 6).
Exact Answer
690/588 = 115/98
Simplified Fraction
115/98
Mixed Number
1 17/98
Decimal Value
1.173469
Percentage
117.3469%
Step-by-Step Solution: 690/588 = 115/98
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 690:
• Factors of 588:
• Factors of 690:
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690• Factors of 588:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196
GCD(690, 588) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (690) and denominator (588) by 6.
690 ÷ 6/588 ÷ 6 = 115/98
Step 3
Convert Improper Fraction to a Mixed Number
Because 115 is larger than 98, 115/98 can also be written as the mixed number 1 17/98.
115/98 = 117/98
Visual Representation
The diagram below illustrates Simplify 690/588 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 115/98 |
| Mixed Number Form | 1 17/98 |
| Decimal Form | 1.173469 |
| Percentage | 117.3469% |
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Frequently Asked Questions
What is 690/588 in simplest form?
690/588 simplified to lowest terms is 115/98.
What is the GCD (GCF) of 690 and 588?
The Greatest Common Divisor (GCD) of 690 and 588 is 6.
What are equivalent fractions to 690/588?
Equivalent fractions to 690/588 include 230/196, 345/294, and 460/392.