Simplify 304/284 to Lowest Terms
304/284 simplified to its lowest terms is 76/71 (or 1.070423 in decimal). See how to reduce 304/284 using Greatest Common Divisor (GCD = 4).
Exact Answer
304/284 = 76/71
Simplified Fraction
76/71
Mixed Number
1 5/71
Decimal Value
1.070423
Percentage
107.0423%
Step-by-Step Solution: 304/284 = 76/71
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 304:
• Factors of 284:
• Factors of 304:
1, 2, 4, 8, 16, 19, 38, 76, 152, 304• Factors of 284:
1, 2, 4, 71, 142, 284
GCD(304, 284) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (304) and denominator (284) by 4.
304 ÷ 4/284 ÷ 4 = 76/71
Step 3
Convert Improper Fraction to a Mixed Number
Because 76 is larger than 71, 76/71 can also be written as the mixed number 1 5/71.
76/71 = 15/71
Visual Representation
The diagram below illustrates Simplify 304/284 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 76/71 |
| Mixed Number Form | 1 5/71 |
| Decimal Form | 1.070423 |
| Percentage | 107.0423% |
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Frequently Asked Questions
What is 304/284 in simplest form?
304/284 simplified to lowest terms is 76/71.
What is the GCD (GCF) of 304 and 284?
The Greatest Common Divisor (GCD) of 304 and 284 is 4.
What are equivalent fractions to 304/284?
Equivalent fractions to 304/284 include 152/142, 228/213, and 304/284.