Simplify 42/168 to Lowest Terms
42/168 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 42/168 using Greatest Common Divisor (GCD = 42).
Exact Answer
42/168 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 42/168 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 168:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 168:
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD(42, 168) = 42
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 42. Divide both the numerator (42) and denominator (168) by 42.
42 ÷ 42/168 ÷ 42 = 1/4
Visual Representation
The diagram below illustrates Simplify 42/168 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 42/168 in simplest form?
42/168 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 42 and 168?
The Greatest Common Divisor (GCD) of 42 and 168 is 42.
What are equivalent fractions to 42/168?
Equivalent fractions to 42/168 include 2/8, 3/12, and 4/16.