Simplify 300/402 to Lowest Terms
300/402 simplified to its lowest terms is 50/67 (or 0.746269 in decimal). See how to reduce 300/402 using Greatest Common Divisor (GCD = 6).
Exact Answer
300/402 = 50/67
Simplified Fraction
50/67
Mixed Number
Proper (50/67)
Decimal Value
0.746269
Percentage
74.6269%
Step-by-Step Solution: 300/402 = 50/67
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 300:
โข Factors of 402:
โข Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100โข Factors of 402:
1, 2, 3, 6, 67, 134, 201, 402
GCD(300, 402) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (300) and denominator (402) by 6.
300 รท 6/402 รท 6 = 50/67
Visual Representation
The diagram below illustrates Simplify 300/402 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 50/67 |
| Mixed Number Form | 50/67 |
| Decimal Form | 0.746269 |
| Percentage | 74.6269% |
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Frequently Asked Questions
What is 300/402 in simplest form?
300/402 simplified to lowest terms is 50/67.
What is the GCD (GCF) of 300 and 402?
The Greatest Common Divisor (GCD) of 300 and 402 is 6.
What are equivalent fractions to 300/402?
Equivalent fractions to 300/402 include 100/134, 150/201, and 200/268.