Simplify 40/52 to Lowest Terms
40/52 simplified to its lowest terms is 10/13 (or 0.769231 in decimal). See how to reduce 40/52 using Greatest Common Divisor (GCD = 4).
Exact Answer
40/52 = 10/13
Simplified Fraction
10/13
Mixed Number
Proper (10/13)
Decimal Value
0.769231
Percentage
76.9231%
Step-by-Step Solution: 40/52 = 10/13
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 52:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 52:
1, 2, 4, 13, 26, 52
GCD(40, 52) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (40) and denominator (52) by 4.
40 ÷ 4/52 ÷ 4 = 10/13
Visual Representation
The diagram below illustrates Simplify 40/52 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 10/13 |
| Mixed Number Form | 10/13 |
| Decimal Form | 0.769231 |
| Percentage | 76.9231% |
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Frequently Asked Questions
What is 40/52 in simplest form?
40/52 simplified to lowest terms is 10/13.
What is the GCD (GCF) of 40 and 52?
The Greatest Common Divisor (GCD) of 40 and 52 is 4.
What are equivalent fractions to 40/52?
Equivalent fractions to 40/52 include 20/26, 30/39, and 40/52.