Simplify 384/402 to Lowest Terms
384/402 simplified to its lowest terms is 64/67 (or 0.955224 in decimal). See how to reduce 384/402 using Greatest Common Divisor (GCD = 6).
Exact Answer
384/402 = 64/67
Simplified Fraction
64/67
Mixed Number
Proper (64/67)
Decimal Value
0.955224
Percentage
95.5224%
Step-by-Step Solution: 384/402 = 64/67
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 384:
โข Factors of 402:
โข Factors of 384:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384โข Factors of 402:
1, 2, 3, 6, 67, 134, 201, 402
GCD(384, 402) = 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 (402) by 6.
384 รท 6/402 รท 6 = 64/67
Visual Representation
The diagram below illustrates Simplify 384/402 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 64/67 |
| Mixed Number Form | 64/67 |
| Decimal Form | 0.955224 |
| Percentage | 95.5224% |
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Frequently Asked Questions
What is 384/402 in simplest form?
384/402 simplified to lowest terms is 64/67.
What is the GCD (GCF) of 384 and 402?
The Greatest Common Divisor (GCD) of 384 and 402 is 6.
What are equivalent fractions to 384/402?
Equivalent fractions to 384/402 include 128/134, 192/201, and 256/268.