Simplify 384/426 to Lowest Terms
384/426 simplified to its lowest terms is 64/71 (or 0.901408 in decimal). See how to reduce 384/426 using Greatest Common Divisor (GCD = 6).
Exact Answer
384/426 = 64/71
Simplified Fraction
64/71
Mixed Number
Proper (64/71)
Decimal Value
0.901408
Percentage
90.1408%
Step-by-Step Solution: 384/426 = 64/71
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 384:
• Factors of 426:
• Factors of 384:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384• Factors of 426:
1, 2, 3, 6, 71, 142, 213, 426
GCD(384, 426) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (384) and denominator (426) by 6.
384 ÷ 6/426 ÷ 6 = 64/71
Visual Representation
The diagram below illustrates Simplify 384/426 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 64/71 |
| Mixed Number Form | 64/71 |
| Decimal Form | 0.901408 |
| Percentage | 90.1408% |
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Frequently Asked Questions
What is 384/426 in simplest form?
384/426 simplified to lowest terms is 64/71.
What is the GCD (GCF) of 384 and 426?
The Greatest Common Divisor (GCD) of 384 and 426 is 6.
What are equivalent fractions to 384/426?
Equivalent fractions to 384/426 include 128/142, 192/213, and 256/284.