Simplify 40/132 to Lowest Terms
40/132 simplified to its lowest terms is 10/33 (or 0.30303 in decimal). See how to reduce 40/132 using Greatest Common Divisor (GCD = 4).
Exact Answer
40/132 = 10/33
Simplified Fraction
10/33
Mixed Number
Proper (10/33)
Decimal Value
0.30303
Percentage
30.303%
Step-by-Step Solution: 40/132 = 10/33
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 132:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 132:
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD(40, 132) = 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 (132) by 4.
40 ÷ 4/132 ÷ 4 = 10/33
Visual Representation
The diagram below illustrates Simplify 40/132 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 10/33 |
| Mixed Number Form | 10/33 |
| Decimal Form | 0.30303 |
| Percentage | 30.303% |
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Frequently Asked Questions
What is 40/132 in simplest form?
40/132 simplified to lowest terms is 10/33.
What is the GCD (GCF) of 40 and 132?
The Greatest Common Divisor (GCD) of 40 and 132 is 4.
What are equivalent fractions to 40/132?
Equivalent fractions to 40/132 include 20/66, 30/99, and 40/132.