Simplify 32/42 to Lowest Terms
32/42 simplified to its lowest terms is 16/21 (or 0.761905 in decimal). See how to reduce 32/42 using Greatest Common Divisor (GCD = 2).
Exact Answer
32/42 = 16/21
Simplified Fraction
16/21
Mixed Number
Proper (16/21)
Decimal Value
0.761905
Percentage
76.1905%
Step-by-Step Solution: 32/42 = 16/21
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 32:
• Factors of 42:
• Factors of 32:
1, 2, 4, 8, 16, 32• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
GCD(32, 42) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (32) and denominator (42) by 2.
32 ÷ 2/42 ÷ 2 = 16/21
Visual Representation
The diagram below illustrates Simplify 32/42 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 16/21 |
| Mixed Number Form | 16/21 |
| Decimal Form | 0.761905 |
| Percentage | 76.1905% |
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Frequently Asked Questions
What is 32/42 in simplest form?
32/42 simplified to lowest terms is 16/21.
What is the GCD (GCF) of 32 and 42?
The Greatest Common Divisor (GCD) of 32 and 42 is 2.
What are equivalent fractions to 32/42?
Equivalent fractions to 32/42 include 32/42, 48/63, and 64/84.