Simplify 64/42 to Lowest Terms
64/42 simplified to its lowest terms is 32/21 (or 1.52381 in decimal). See how to reduce 64/42 using Greatest Common Divisor (GCD = 2).
Exact Answer
64/42 = 32/21
Simplified Fraction
32/21
Mixed Number
1 11/21
Decimal Value
1.52381
Percentage
152.381%
Step-by-Step Solution: 64/42 = 32/21
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 64:
• Factors of 42:
• Factors of 64:
1, 2, 4, 8, 16, 32, 64• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
GCD(64, 42) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (64) and denominator (42) by 2.
64 ÷ 2/42 ÷ 2 = 32/21
Step 3
Convert Improper Fraction to a Mixed Number
Because 32 is larger than 21, 32/21 can also be written as the mixed number 1 11/21.
32/21 = 111/21
Visual Representation
The diagram below illustrates Simplify 64/42 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 32/21 |
| Mixed Number Form | 1 11/21 |
| Decimal Form | 1.52381 |
| Percentage | 152.381% |
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Frequently Asked Questions
What is 64/42 in simplest form?
64/42 simplified to lowest terms is 32/21.
What is the GCD (GCF) of 64 and 42?
The Greatest Common Divisor (GCD) of 64 and 42 is 2.
What are equivalent fractions to 64/42?
Equivalent fractions to 64/42 include 64/42, 96/63, and 128/84.