Simplify 10/25 to Lowest Terms
10/25 simplified to its lowest terms is 2/5 (or 0.4 in decimal). See how to reduce 10/25 using Greatest Common Divisor (GCD = 5).
Exact Answer
10/25 = 2/5
Simplified Fraction
2/5
Mixed Number
Proper (2/5)
Decimal Value
0.4
Percentage
40%
Step-by-Step Solution: 10/25 = 2/5
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 10:
• Factors of 25:
• Factors of 10:
1, 2, 5, 10• Factors of 25:
1, 5, 25
GCD(10, 25) = 5
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 5. Divide both the numerator (10) and denominator (25) by 5.
10 ÷ 5/25 ÷ 5 = 2/5
Visual Representation
The diagram below illustrates Simplify 10/25 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/5 |
| Mixed Number Form | 2/5 |
| Decimal Form | 0.4 |
| Percentage | 40% |
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Frequently Asked Questions
What is 10/25 in simplest form?
10/25 simplified to lowest terms is 2/5.
What is the GCD (GCF) of 10 and 25?
The Greatest Common Divisor (GCD) of 10 and 25 is 5.
What are equivalent fractions to 10/25?
Equivalent fractions to 10/25 include 4/10, 6/15, and 8/20.