Simplify 130/320 to Lowest Terms
130/320 simplified to its lowest terms is 13/32 (or 0.40625 in decimal). See how to reduce 130/320 using Greatest Common Divisor (GCD = 10).
Exact Answer
130/320 = 13/32
Simplified Fraction
13/32
Mixed Number
Proper (13/32)
Decimal Value
0.40625
Percentage
40.625%
Step-by-Step Solution: 130/320 = 13/32
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 130:
• Factors of 320:
• Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130• Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD(130, 320) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (130) and denominator (320) by 10.
130 ÷ 10/320 ÷ 10 = 13/32
Visual Representation
The diagram below illustrates Simplify 130/320 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/32 |
| Mixed Number Form | 13/32 |
| Decimal Form | 0.40625 |
| Percentage | 40.625% |
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Frequently Asked Questions
What is 130/320 in simplest form?
130/320 simplified to lowest terms is 13/32.
What is the GCD (GCF) of 130 and 320?
The Greatest Common Divisor (GCD) of 130 and 320 is 10.
What are equivalent fractions to 130/320?
Equivalent fractions to 130/320 include 26/64, 39/96, and 52/128.