Simplify 48/150 to Lowest Terms
48/150 simplified to its lowest terms is 8/25 (or 0.32 in decimal). See how to reduce 48/150 using Greatest Common Divisor (GCD = 6).
Exact Answer
48/150 = 8/25
Simplified Fraction
8/25
Mixed Number
Proper (8/25)
Decimal Value
0.32
Percentage
32%
Step-by-Step Solution: 48/150 = 8/25
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48:
• Factors of 150:
• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48• Factors of 150:
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD(48, 150) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (48) and denominator (150) by 6.
48 ÷ 6/150 ÷ 6 = 8/25
Visual Representation
The diagram below illustrates Simplify 48/150 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 8/25 |
| Mixed Number Form | 8/25 |
| Decimal Form | 0.32 |
| Percentage | 32% |
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Frequently Asked Questions
What is 48/150 in simplest form?
48/150 simplified to lowest terms is 8/25.
What is the GCD (GCF) of 48 and 150?
The Greatest Common Divisor (GCD) of 48 and 150 is 6.
What are equivalent fractions to 48/150?
Equivalent fractions to 48/150 include 16/50, 24/75, and 32/100.