Simplify 40/130 to Lowest Terms
40/130 simplified to its lowest terms is 4/13 (or 0.307692 in decimal). See how to reduce 40/130 using Greatest Common Divisor (GCD = 10).
Exact Answer
40/130 = 4/13
Simplified Fraction
4/13
Mixed Number
Proper (4/13)
Decimal Value
0.307692
Percentage
30.7692%
Step-by-Step Solution: 40/130 = 4/13
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 130:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130
GCD(40, 130) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (40) and denominator (130) by 10.
40 ÷ 10/130 ÷ 10 = 4/13
Visual Representation
The diagram below illustrates Simplify 40/130 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/13 |
| Mixed Number Form | 4/13 |
| Decimal Form | 0.307692 |
| Percentage | 30.7692% |
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Frequently Asked Questions
What is 40/130 in simplest form?
40/130 simplified to lowest terms is 4/13.
What is the GCD (GCF) of 40 and 130?
The Greatest Common Divisor (GCD) of 40 and 130 is 10.
What are equivalent fractions to 40/130?
Equivalent fractions to 40/130 include 8/26, 12/39, and 16/52.