Simplify 448/420 to Lowest Terms
448/420 simplified to its lowest terms is 16/15 (or 1.066667 in decimal). See how to reduce 448/420 using Greatest Common Divisor (GCD = 28).
Exact Answer
448/420 = 16/15
Simplified Fraction
16/15
Mixed Number
1 1/15
Decimal Value
1.066667
Percentage
106.6667%
Step-by-Step Solution: 448/420 = 16/15
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 448:
• Factors of 420:
• Factors of 448:
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(448, 420) = 28
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 28. Divide both the numerator (448) and denominator (420) by 28.
448 ÷ 28/420 ÷ 28 = 16/15
Step 3
Convert Improper Fraction to a Mixed Number
Because 16 is larger than 15, 16/15 can also be written as the mixed number 1 1/15.
16/15 = 11/15
Visual Representation
The diagram below illustrates Simplify 448/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 16/15 |
| Mixed Number Form | 1 1/15 |
| Decimal Form | 1.066667 |
| Percentage | 106.6667% |
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Frequently Asked Questions
What is 448/420 in simplest form?
448/420 simplified to lowest terms is 16/15.
What is the GCD (GCF) of 448 and 420?
The Greatest Common Divisor (GCD) of 448 and 420 is 28.
What are equivalent fractions to 448/420?
Equivalent fractions to 448/420 include 32/30, 48/45, and 64/60.