Simplify 48/192 to Lowest Terms
48/192 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 48/192 using Greatest Common Divisor (GCD = 48).
Exact Answer
48/192 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 48/192 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48:
• Factors of 192:
• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48• Factors of 192:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
GCD(48, 192) = 48
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 48. Divide both the numerator (48) and denominator (192) by 48.
48 ÷ 48/192 ÷ 48 = 1/4
Visual Representation
The diagram below illustrates Simplify 48/192 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 48/192 in simplest form?
48/192 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 48 and 192?
The Greatest Common Divisor (GCD) of 48 and 192 is 48.
What are equivalent fractions to 48/192?
Equivalent fractions to 48/192 include 2/8, 3/12, and 4/16.