Simplify 480/1752 to Lowest Terms
480/1752 simplified to its lowest terms is 20/73 (or 0.273973 in decimal). See how to reduce 480/1752 using Greatest Common Divisor (GCD = 24).
Exact Answer
480/1752 = 20/73
Simplified Fraction
20/73
Mixed Number
Proper (20/73)
Decimal Value
0.273973
Percentage
27.3973%
Step-by-Step Solution: 480/1752 = 20/73
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 480:
• Factors of 1752:
• Factors of 480:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40• Factors of 1752:
1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876, 1752
GCD(480, 1752) = 24
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (480) and denominator (1752) by 24.
480 ÷ 24/1752 ÷ 24 = 20/73
Visual Representation
The diagram below illustrates Simplify 480/1752 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 20/73 |
| Mixed Number Form | 20/73 |
| Decimal Form | 0.273973 |
| Percentage | 27.3973% |
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Frequently Asked Questions
What is 480/1752 in simplest form?
480/1752 simplified to lowest terms is 20/73.
What is the GCD (GCF) of 480 and 1752?
The Greatest Common Divisor (GCD) of 480 and 1752 is 24.
What are equivalent fractions to 480/1752?
Equivalent fractions to 480/1752 include 40/146, 60/219, and 80/292.