Simplify 42/216 to Lowest Terms
42/216 simplified to its lowest terms is 7/36 (or 0.194444 in decimal). See how to reduce 42/216 using Greatest Common Divisor (GCD = 6).
Exact Answer
42/216 = 7/36
Simplified Fraction
7/36
Mixed Number
Proper (7/36)
Decimal Value
0.194444
Percentage
19.4444%
Step-by-Step Solution: 42/216 = 7/36
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 216:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 216:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD(42, 216) = 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 (216) by 6.
42 ÷ 6/216 ÷ 6 = 7/36
Visual Representation
The diagram below illustrates Simplify 42/216 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/36 |
| Mixed Number Form | 7/36 |
| Decimal Form | 0.194444 |
| Percentage | 19.4444% |
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Frequently Asked Questions
What is 42/216 in simplest form?
42/216 simplified to lowest terms is 7/36.
What is the GCD (GCF) of 42 and 216?
The Greatest Common Divisor (GCD) of 42 and 216 is 6.
What are equivalent fractions to 42/216?
Equivalent fractions to 42/216 include 14/72, 21/108, and 28/144.