Simplify 360/704 to Lowest Terms
360/704 simplified to its lowest terms is 45/88 (or 0.511364 in decimal). See how to reduce 360/704 using Greatest Common Divisor (GCD = 8).
Exact Answer
360/704 = 45/88
Simplified Fraction
45/88
Mixed Number
Proper (45/88)
Decimal Value
0.511364
Percentage
51.1364%
Step-by-Step Solution: 360/704 = 45/88
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 360:
• Factors of 704:
• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36• Factors of 704:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD(360, 704) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (360) and denominator (704) by 8.
360 ÷ 8/704 ÷ 8 = 45/88
Visual Representation
The diagram below illustrates Simplify 360/704 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 45/88 |
| Mixed Number Form | 45/88 |
| Decimal Form | 0.511364 |
| Percentage | 51.1364% |
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Frequently Asked Questions
What is 360/704 in simplest form?
360/704 simplified to lowest terms is 45/88.
What is the GCD (GCF) of 360 and 704?
The Greatest Common Divisor (GCD) of 360 and 704 is 8.
What are equivalent fractions to 360/704?
Equivalent fractions to 360/704 include 90/176, 135/264, and 180/352.