Simplify 10/40 to Lowest Terms
10/40 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 10/40 using Greatest Common Divisor (GCD = 10).
Exact Answer
10/40 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 10/40 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 10:
• Factors of 40:
• Factors of 10:
1, 2, 5, 10• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40
GCD(10, 40) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (10) and denominator (40) by 10.
10 ÷ 10/40 ÷ 10 = 1/4
Visual Representation
The diagram below illustrates Simplify 10/40 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 10/40 in simplest form?
10/40 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 10 and 40?
The Greatest Common Divisor (GCD) of 10 and 40 is 10.
What are equivalent fractions to 10/40?
Equivalent fractions to 10/40 include 2/8, 3/12, and 4/16.