Simplify 84/224 to Lowest Terms
84/224 simplified to its lowest terms is 3/8 (or 0.375 in decimal). See how to reduce 84/224 using Greatest Common Divisor (GCD = 28).
Exact Answer
84/224 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 84/224 = 3/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 224:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 224:
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD(84, 224) = 28
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 28. Divide both the numerator (84) and denominator (224) by 28.
84 ÷ 28/224 ÷ 28 = 3/8
Visual Representation
The diagram below illustrates Simplify 84/224 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/8 |
| Mixed Number Form | 3/8 |
| Decimal Form | 0.375 |
| Percentage | 37.5% |
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Frequently Asked Questions
What is 84/224 in simplest form?
84/224 simplified to lowest terms is 3/8.
What is the GCD (GCF) of 84 and 224?
The Greatest Common Divisor (GCD) of 84 and 224 is 28.
What are equivalent fractions to 84/224?
Equivalent fractions to 84/224 include 6/16, 9/24, and 12/32.