Simplify 42/192 to Lowest Terms
42/192 simplified to its lowest terms is 7/32 (or 0.21875 in decimal). See how to reduce 42/192 using Greatest Common Divisor (GCD = 6).
Exact Answer
42/192 = 7/32
Simplified Fraction
7/32
Mixed Number
Proper (7/32)
Decimal Value
0.21875
Percentage
21.875%
Step-by-Step Solution: 42/192 = 7/32
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 192:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 192:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
GCD(42, 192) = 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 (192) by 6.
42 ÷ 6/192 ÷ 6 = 7/32
Visual Representation
The diagram below illustrates Simplify 42/192 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/32 |
| Mixed Number Form | 7/32 |
| Decimal Form | 0.21875 |
| Percentage | 21.875% |
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Frequently Asked Questions
What is 42/192 in simplest form?
42/192 simplified to lowest terms is 7/32.
What is the GCD (GCF) of 42 and 192?
The Greatest Common Divisor (GCD) of 42 and 192 is 6.
What are equivalent fractions to 42/192?
Equivalent fractions to 42/192 include 14/64, 21/96, and 28/128.