Simplify 42/96 to Lowest Terms
42/96 simplified to its lowest terms is 7/16 (or 0.4375 in decimal). See how to reduce 42/96 using Greatest Common Divisor (GCD = 6).
Exact Answer
42/96 = 7/16
Simplified Fraction
7/16
Mixed Number
Proper (7/16)
Decimal Value
0.4375
Percentage
43.75%
Step-by-Step Solution: 42/96 = 7/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 42:
โข Factors of 96:
โข Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42โข Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD(42, 96) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (42) and denominator (96) by 6.
42 รท 6/96 รท 6 = 7/16
Visual Representation
The diagram below illustrates Simplify 42/96 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/16 |
| Mixed Number Form | 7/16 |
| Decimal Form | 0.4375 |
| Percentage | 43.75% |
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Frequently Asked Questions
What is 42/96 in simplest form?
42/96 simplified to lowest terms is 7/16.
What is the GCD (GCF) of 42 and 96?
The Greatest Common Divisor (GCD) of 42 and 96 is 6.
What are equivalent fractions to 42/96?
Equivalent fractions to 42/96 include 14/32, 21/48, and 28/64.