Simplify 48/126 to Lowest Terms
48/126 simplified to its lowest terms is 8/21 (or 0.380952 in decimal). See how to reduce 48/126 using Greatest Common Divisor (GCD = 6).
Exact Answer
48/126 = 8/21
Simplified Fraction
8/21
Mixed Number
Proper (8/21)
Decimal Value
0.380952
Percentage
38.0952%
Step-by-Step Solution: 48/126 = 8/21
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 48:
โข Factors of 126:
โข Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48โข Factors of 126:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD(48, 126) = 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 (126) by 6.
48 รท 6/126 รท 6 = 8/21
Visual Representation
The diagram below illustrates Simplify 48/126 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 8/21 |
| Mixed Number Form | 8/21 |
| Decimal Form | 0.380952 |
| Percentage | 38.0952% |
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Frequently Asked Questions
What is 48/126 in simplest form?
48/126 simplified to lowest terms is 8/21.
What is the GCD (GCF) of 48 and 126?
The Greatest Common Divisor (GCD) of 48 and 126 is 6.
What are equivalent fractions to 48/126?
Equivalent fractions to 48/126 include 16/42, 24/63, and 32/84.