Simplify 48/168 to Lowest Terms
48/168 simplified to its lowest terms is 2/7 (or 0.285714 in decimal). See how to reduce 48/168 using Greatest Common Divisor (GCD = 24).
Exact Answer
48/168 = 2/7
Simplified Fraction
2/7
Mixed Number
Proper (2/7)
Decimal Value
0.285714
Percentage
28.5714%
Step-by-Step Solution: 48/168 = 2/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48:
• Factors of 168:
• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48• Factors of 168:
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD(48, 168) = 24
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (48) and denominator (168) by 24.
48 ÷ 24/168 ÷ 24 = 2/7
Visual Representation
The diagram below illustrates Simplify 48/168 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/7 |
| Mixed Number Form | 2/7 |
| Decimal Form | 0.285714 |
| Percentage | 28.5714% |
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Frequently Asked Questions
What is 48/168 in simplest form?
48/168 simplified to lowest terms is 2/7.
What is the GCD (GCF) of 48 and 168?
The Greatest Common Divisor (GCD) of 48 and 168 is 24.
What are equivalent fractions to 48/168?
Equivalent fractions to 48/168 include 4/14, 6/21, and 8/28.