Simplify 600/1216 to Lowest Terms
600/1216 simplified to its lowest terms is 75/152 (or 0.493421 in decimal). See how to reduce 600/1216 using Greatest Common Divisor (GCD = 8).
Exact Answer
600/1216 = 75/152
Simplified Fraction
75/152
Mixed Number
Proper (75/152)
Decimal Value
0.493421
Percentage
49.3421%
Step-by-Step Solution: 600/1216 = 75/152
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 600:
• Factors of 1216:
• Factors of 600:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50• Factors of 1216:
1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216
GCD(600, 1216) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (600) and denominator (1216) by 8.
600 ÷ 8/1216 ÷ 8 = 75/152
Visual Representation
The diagram below illustrates Simplify 600/1216 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 75/152 |
| Mixed Number Form | 75/152 |
| Decimal Form | 0.493421 |
| Percentage | 49.3421% |
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Frequently Asked Questions
What is 600/1216 in simplest form?
600/1216 simplified to lowest terms is 75/152.
What is the GCD (GCF) of 600 and 1216?
The Greatest Common Divisor (GCD) of 600 and 1216 is 8.
What are equivalent fractions to 600/1216?
Equivalent fractions to 600/1216 include 150/304, 225/456, and 300/608.