Simplify 480/820 to Lowest Terms
480/820 simplified to its lowest terms is 24/41 (or 0.585366 in decimal). See how to reduce 480/820 using Greatest Common Divisor (GCD = 20).
Exact Answer
480/820 = 24/41
Simplified Fraction
24/41
Mixed Number
Proper (24/41)
Decimal Value
0.585366
Percentage
58.5366%
Step-by-Step Solution: 480/820 = 24/41
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 480:
โข Factors of 820:
โข Factors of 480:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40โข Factors of 820:
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD(480, 820) = 20
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (480) and denominator (820) by 20.
480 รท 20/820 รท 20 = 24/41
Visual Representation
The diagram below illustrates Simplify 480/820 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 24/41 |
| Mixed Number Form | 24/41 |
| Decimal Form | 0.585366 |
| Percentage | 58.5366% |
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Frequently Asked Questions
What is 480/820 in simplest form?
480/820 simplified to lowest terms is 24/41.
What is the GCD (GCF) of 480 and 820?
The Greatest Common Divisor (GCD) of 480 and 820 is 20.
What are equivalent fractions to 480/820?
Equivalent fractions to 480/820 include 48/82, 72/123, and 96/164.