Simplify 96/42 to Lowest Terms
96/42 simplified to its lowest terms is 16/7 (or 2.285714 in decimal). See how to reduce 96/42 using Greatest Common Divisor (GCD = 6).
Exact Answer
96/42 = 16/7
Simplified Fraction
16/7
Mixed Number
2 2/7
Decimal Value
2.285714
Percentage
228.5714%
Step-by-Step Solution: 96/42 = 16/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 96:
• Factors of 42:
• Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
GCD(96, 42) = 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 (42) by 6.
96 ÷ 6/42 ÷ 6 = 16/7
Step 3
Convert Improper Fraction to a Mixed Number
Because 16 is larger than 7, 16/7 can also be written as the mixed number 2 2/7.
16/7 = 22/7
Visual Representation
The diagram below illustrates Simplify 96/42 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 16/7 |
| Mixed Number Form | 2 2/7 |
| Decimal Form | 2.285714 |
| Percentage | 228.5714% |
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Frequently Asked Questions
What is 96/42 in simplest form?
96/42 simplified to lowest terms is 16/7.
What is the GCD (GCF) of 96 and 42?
The Greatest Common Divisor (GCD) of 96 and 42 is 6.
What are equivalent fractions to 96/42?
Equivalent fractions to 96/42 include 32/14, 48/21, and 64/28.