Simplify 704/688 to Lowest Terms
704/688 simplified to its lowest terms is 44/43 (or 1.023256 in decimal). See how to reduce 704/688 using Greatest Common Divisor (GCD = 16).
Exact Answer
704/688 = 44/43
Simplified Fraction
44/43
Mixed Number
1 1/43
Decimal Value
1.023256
Percentage
102.3256%
Step-by-Step Solution: 704/688 = 44/43
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 704:
• Factors of 688:
• Factors of 704:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704• Factors of 688:
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD(704, 688) = 16
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (704) and denominator (688) by 16.
704 ÷ 16/688 ÷ 16 = 44/43
Step 3
Convert Improper Fraction to a Mixed Number
Because 44 is larger than 43, 44/43 can also be written as the mixed number 1 1/43.
44/43 = 11/43
Visual Representation
The diagram below illustrates Simplify 704/688 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 44/43 |
| Mixed Number Form | 1 1/43 |
| Decimal Form | 1.023256 |
| Percentage | 102.3256% |
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Frequently Asked Questions
What is 704/688 in simplest form?
704/688 simplified to lowest terms is 44/43.
What is the GCD (GCF) of 704 and 688?
The Greatest Common Divisor (GCD) of 704 and 688 is 16.
What are equivalent fractions to 704/688?
Equivalent fractions to 704/688 include 88/86, 132/129, and 176/172.