Simplify 42/224 to Lowest Terms
42/224 simplified to its lowest terms is 3/16 (or 0.1875 in decimal). See how to reduce 42/224 using Greatest Common Divisor (GCD = 14).
Exact Answer
42/224 = 3/16
Simplified Fraction
3/16
Mixed Number
Proper (3/16)
Decimal Value
0.1875
Percentage
18.75%
Step-by-Step Solution: 42/224 = 3/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 224:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 224:
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD(42, 224) = 14
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (42) and denominator (224) by 14.
42 ÷ 14/224 ÷ 14 = 3/16
Visual Representation
The diagram below illustrates Simplify 42/224 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/16 |
| Mixed Number Form | 3/16 |
| Decimal Form | 0.1875 |
| Percentage | 18.75% |
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Frequently Asked Questions
What is 42/224 in simplest form?
42/224 simplified to lowest terms is 3/16.
What is the GCD (GCF) of 42 and 224?
The Greatest Common Divisor (GCD) of 42 and 224 is 14.
What are equivalent fractions to 42/224?
Equivalent fractions to 42/224 include 6/32, 9/48, and 12/64.