Simplify 96/126 to Lowest Terms
96/126 simplified to its lowest terms is 16/21 (or 0.761905 in decimal). See how to reduce 96/126 using Greatest Common Divisor (GCD = 6).
Exact Answer
96/126 = 16/21
Simplified Fraction
16/21
Mixed Number
Proper (16/21)
Decimal Value
0.761905
Percentage
76.1905%
Step-by-Step Solution: 96/126 = 16/21
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 96:
• Factors of 126:
• Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96• Factors of 126:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD(96, 126) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (96) and denominator (126) by 6.
96 ÷ 6/126 ÷ 6 = 16/21
Visual Representation
The diagram below illustrates Simplify 96/126 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 16/21 |
| Mixed Number Form | 16/21 |
| Decimal Form | 0.761905 |
| Percentage | 76.1905% |
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Frequently Asked Questions
What is 96/126 in simplest form?
96/126 simplified to lowest terms is 16/21.
What is the GCD (GCF) of 96 and 126?
The Greatest Common Divisor (GCD) of 96 and 126 is 6.
What are equivalent fractions to 96/126?
Equivalent fractions to 96/126 include 32/42, 48/63, and 64/84.