Simplify 688/602 to Lowest Terms
688/602 simplified to its lowest terms is 8/7 (or 1.142857 in decimal). See how to reduce 688/602 using Greatest Common Divisor (GCD = 86).
Exact Answer
688/602 = 8/7
Simplified Fraction
8/7
Mixed Number
1 1/7
Decimal Value
1.142857
Percentage
114.2857%
Step-by-Step Solution: 688/602 = 8/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 688:
• Factors of 602:
• Factors of 688:
1, 2, 4, 8, 16, 43, 86, 172, 344, 688• Factors of 602:
1, 2, 7, 14, 43, 86, 301, 602
GCD(688, 602) = 86
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 86. Divide both the numerator (688) and denominator (602) by 86.
688 ÷ 86/602 ÷ 86 = 8/7
Step 3
Convert Improper Fraction to a Mixed Number
Because 8 is larger than 7, 8/7 can also be written as the mixed number 1 1/7.
8/7 = 11/7
Visual Representation
The diagram below illustrates Simplify 688/602 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 8/7 |
| Mixed Number Form | 1 1/7 |
| Decimal Form | 1.142857 |
| Percentage | 114.2857% |
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Frequently Asked Questions
What is 688/602 in simplest form?
688/602 simplified to lowest terms is 8/7.
What is the GCD (GCF) of 688 and 602?
The Greatest Common Divisor (GCD) of 688 and 602 is 86.
What are equivalent fractions to 688/602?
Equivalent fractions to 688/602 include 16/14, 24/21, and 32/28.