Simplify 42/64 to Lowest Terms
42/64 simplified to its lowest terms is 21/32 (or 0.65625 in decimal). See how to reduce 42/64 using Greatest Common Divisor (GCD = 2).
Exact Answer
42/64 = 21/32
Simplified Fraction
21/32
Mixed Number
Proper (21/32)
Decimal Value
0.65625
Percentage
65.625%
Step-by-Step Solution: 42/64 = 21/32
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 42:
โข Factors of 64:
โข Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42โข Factors of 64:
1, 2, 4, 8, 16, 32, 64
GCD(42, 64) = 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 (64) by 2.
42 รท 2/64 รท 2 = 21/32
Visual Representation
The diagram below illustrates Simplify 42/64 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/32 |
| Mixed Number Form | 21/32 |
| Decimal Form | 0.65625 |
| Percentage | 65.625% |
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Frequently Asked Questions
What is 42/64 in simplest form?
42/64 simplified to lowest terms is 21/32.
What is the GCD (GCF) of 42 and 64?
The Greatest Common Divisor (GCD) of 42 and 64 is 2.
What are equivalent fractions to 42/64?
Equivalent fractions to 42/64 include 42/64, 63/96, and 84/128.