Simplify 704/1440 to Lowest Terms
704/1440 simplified to its lowest terms is 22/45 (or 0.488889 in decimal). See how to reduce 704/1440 using Greatest Common Divisor (GCD = 32).
Exact Answer
704/1440 = 22/45
Simplified Fraction
22/45
Mixed Number
Proper (22/45)
Decimal Value
0.488889
Percentage
48.8889%
Step-by-Step Solution: 704/1440 = 22/45
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 704:
• Factors of 1440:
• Factors of 704:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704• Factors of 1440:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
GCD(704, 1440) = 32
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 32. Divide both the numerator (704) and denominator (1440) by 32.
704 ÷ 32/1440 ÷ 32 = 22/45
Visual Representation
The diagram below illustrates Simplify 704/1440 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 22/45 |
| Mixed Number Form | 22/45 |
| Decimal Form | 0.488889 |
| Percentage | 48.8889% |
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Frequently Asked Questions
What is 704/1440 in simplest form?
704/1440 simplified to lowest terms is 22/45.
What is the GCD (GCF) of 704 and 1440?
The Greatest Common Divisor (GCD) of 704 and 1440 is 32.
What are equivalent fractions to 704/1440?
Equivalent fractions to 704/1440 include 44/90, 66/135, and 88/180.