Simplify 320/490 to Lowest Terms
320/490 simplified to its lowest terms is 32/49 (or 0.653061 in decimal). See how to reduce 320/490 using Greatest Common Divisor (GCD = 10).
Exact Answer
320/490 = 32/49
Simplified Fraction
32/49
Mixed Number
Proper (32/49)
Decimal Value
0.653061
Percentage
65.3061%
Step-by-Step Solution: 320/490 = 32/49
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 320:
โข Factors of 490:
โข Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320โข Factors of 490:
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD(320, 490) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (320) and denominator (490) by 10.
320 รท 10/490 รท 10 = 32/49
Visual Representation
The diagram below illustrates Simplify 320/490 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 32/49 |
| Mixed Number Form | 32/49 |
| Decimal Form | 0.653061 |
| Percentage | 65.3061% |
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Frequently Asked Questions
What is 320/490 in simplest form?
320/490 simplified to lowest terms is 32/49.
What is the GCD (GCF) of 320 and 490?
The Greatest Common Divisor (GCD) of 320 and 490 is 10.
What are equivalent fractions to 320/490?
Equivalent fractions to 320/490 include 64/98, 96/147, and 128/196.