Simplify 42/132 to Lowest Terms
42/132 simplified to its lowest terms is 7/22 (or 0.318182 in decimal). See how to reduce 42/132 using Greatest Common Divisor (GCD = 6).
Exact Answer
42/132 = 7/22
Simplified Fraction
7/22
Mixed Number
Proper (7/22)
Decimal Value
0.318182
Percentage
31.8182%
Step-by-Step Solution: 42/132 = 7/22
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 132:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 132:
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD(42, 132) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (42) and denominator (132) by 6.
42 ÷ 6/132 ÷ 6 = 7/22
Visual Representation
The diagram below illustrates Simplify 42/132 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/22 |
| Mixed Number Form | 7/22 |
| Decimal Form | 0.318182 |
| Percentage | 31.8182% |
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Frequently Asked Questions
What is 42/132 in simplest form?
42/132 simplified to lowest terms is 7/22.
What is the GCD (GCF) of 42 and 132?
The Greatest Common Divisor (GCD) of 42 and 132 is 6.
What are equivalent fractions to 42/132?
Equivalent fractions to 42/132 include 14/44, 21/66, and 28/88.