Simplify 490/1600 to Lowest Terms
490/1600 simplified to its lowest terms is 49/160 (or 0.30625 in decimal). See how to reduce 490/1600 using Greatest Common Divisor (GCD = 10).
Exact Answer
490/1600 = 49/160
Simplified Fraction
49/160
Mixed Number
Proper (49/160)
Decimal Value
0.30625
Percentage
30.625%
Step-by-Step Solution: 490/1600 = 49/160
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 490:
• Factors of 1600:
• Factors of 490:
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490• Factors of 1600:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
GCD(490, 1600) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (490) and denominator (1600) by 10.
490 ÷ 10/1600 ÷ 10 = 49/160
Visual Representation
The diagram below illustrates Simplify 490/1600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 49/160 |
| Mixed Number Form | 49/160 |
| Decimal Form | 0.30625 |
| Percentage | 30.625% |
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Frequently Asked Questions
What is 490/1600 in simplest form?
490/1600 simplified to lowest terms is 49/160.
What is the GCD (GCF) of 490 and 1600?
The Greatest Common Divisor (GCD) of 490 and 1600 is 10.
What are equivalent fractions to 490/1600?
Equivalent fractions to 490/1600 include 98/320, 147/480, and 196/640.