Simplify 48/224 to Lowest Terms
48/224 simplified to its lowest terms is 3/14 (or 0.214286 in decimal). See how to reduce 48/224 using Greatest Common Divisor (GCD = 16).
Exact Answer
48/224 = 3/14
Simplified Fraction
3/14
Mixed Number
Proper (3/14)
Decimal Value
0.214286
Percentage
21.4286%
Step-by-Step Solution: 48/224 = 3/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48:
• Factors of 224:
• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48• Factors of 224:
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD(48, 224) = 16
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (48) and denominator (224) by 16.
48 ÷ 16/224 ÷ 16 = 3/14
Visual Representation
The diagram below illustrates Simplify 48/224 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/14 |
| Mixed Number Form | 3/14 |
| Decimal Form | 0.214286 |
| Percentage | 21.4286% |
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Frequently Asked Questions
What is 48/224 in simplest form?
48/224 simplified to lowest terms is 3/14.
What is the GCD (GCF) of 48 and 224?
The Greatest Common Divisor (GCD) of 48 and 224 is 16.
What are equivalent fractions to 48/224?
Equivalent fractions to 48/224 include 6/28, 9/42, and 12/56.