Simplify 48/200 to Lowest Terms
48/200 simplified to its lowest terms is 6/25 (or 0.24 in decimal). See how to reduce 48/200 using Greatest Common Divisor (GCD = 8).
Exact Answer
48/200 = 6/25
Simplified Fraction
6/25
Mixed Number
Proper (6/25)
Decimal Value
0.24
Percentage
24%
Step-by-Step Solution: 48/200 = 6/25
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48:
• Factors of 200:
• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48• Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD(48, 200) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (48) and denominator (200) by 8.
48 ÷ 8/200 ÷ 8 = 6/25
Visual Representation
The diagram below illustrates Simplify 48/200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 6/25 |
| Mixed Number Form | 6/25 |
| Decimal Form | 0.24 |
| Percentage | 24% |
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Frequently Asked Questions
What is 48/200 in simplest form?
48/200 simplified to lowest terms is 6/25.
What is the GCD (GCF) of 48 and 200?
The Greatest Common Divisor (GCD) of 48 and 200 is 8.
What are equivalent fractions to 48/200?
Equivalent fractions to 48/200 include 12/50, 18/75, and 24/100.