Simplify 42/128 to Lowest Terms
42/128 simplified to its lowest terms is 21/64 (or 0.328125 in decimal). See how to reduce 42/128 using Greatest Common Divisor (GCD = 2).
Exact Answer
42/128 = 21/64
Simplified Fraction
21/64
Mixed Number
Proper (21/64)
Decimal Value
0.328125
Percentage
32.8125%
Step-by-Step Solution: 42/128 = 21/64
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 128:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 128:
1, 2, 4, 8, 16, 32, 64, 128
GCD(42, 128) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (42) and denominator (128) by 2.
42 ÷ 2/128 ÷ 2 = 21/64
Visual Representation
The diagram below illustrates Simplify 42/128 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/64 |
| Mixed Number Form | 21/64 |
| Decimal Form | 0.328125 |
| Percentage | 32.8125% |
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Frequently Asked Questions
What is 42/128 in simplest form?
42/128 simplified to lowest terms is 21/64.
What is the GCD (GCF) of 42 and 128?
The Greatest Common Divisor (GCD) of 42 and 128 is 2.
What are equivalent fractions to 42/128?
Equivalent fractions to 42/128 include 42/128, 63/192, and 84/256.