Simplify 360/742 to Lowest Terms
360/742 simplified to its lowest terms is 180/371 (or 0.485175 in decimal). See how to reduce 360/742 using Greatest Common Divisor (GCD = 2).
Exact Answer
360/742 = 180/371
Simplified Fraction
180/371
Mixed Number
Proper (180/371)
Decimal Value
0.485175
Percentage
48.5175%
Step-by-Step Solution: 360/742 = 180/371
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 360:
• Factors of 742:
• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36• Factors of 742:
1, 2, 7, 14, 53, 106, 371, 742
GCD(360, 742) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (360) and denominator (742) by 2.
360 ÷ 2/742 ÷ 2 = 180/371
Visual Representation
The diagram below illustrates Simplify 360/742 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 180/371 |
| Mixed Number Form | 180/371 |
| Decimal Form | 0.485175 |
| Percentage | 48.5175% |
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Frequently Asked Questions
What is 360/742 in simplest form?
360/742 simplified to lowest terms is 180/371.
What is the GCD (GCF) of 360 and 742?
The Greatest Common Divisor (GCD) of 360 and 742 is 2.
What are equivalent fractions to 360/742?
Equivalent fractions to 360/742 include 360/742, 540/1113, and 720/1484.