Simplify 480/852 to Lowest Terms
480/852 simplified to its lowest terms is 40/71 (or 0.56338 in decimal). See how to reduce 480/852 using Greatest Common Divisor (GCD = 12).
Exact Answer
480/852 = 40/71
Simplified Fraction
40/71
Mixed Number
Proper (40/71)
Decimal Value
0.56338
Percentage
56.338%
Step-by-Step Solution: 480/852 = 40/71
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 480:
• Factors of 852:
• Factors of 480:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40• Factors of 852:
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
GCD(480, 852) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (480) and denominator (852) by 12.
480 ÷ 12/852 ÷ 12 = 40/71
Visual Representation
The diagram below illustrates Simplify 480/852 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 40/71 |
| Mixed Number Form | 40/71 |
| Decimal Form | 0.56338 |
| Percentage | 56.338% |
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Frequently Asked Questions
What is 480/852 in simplest form?
480/852 simplified to lowest terms is 40/71.
What is the GCD (GCF) of 480 and 852?
The Greatest Common Divisor (GCD) of 480 and 852 is 12.
What are equivalent fractions to 480/852?
Equivalent fractions to 480/852 include 80/142, 120/213, and 160/284.