Simplify 448/402 to Lowest Terms
448/402 simplified to its lowest terms is 224/201 (or 1.114428 in decimal). See how to reduce 448/402 using Greatest Common Divisor (GCD = 2).
Exact Answer
448/402 = 224/201
Simplified Fraction
224/201
Mixed Number
1 23/201
Decimal Value
1.114428
Percentage
111.4428%
Step-by-Step Solution: 448/402 = 224/201
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 448:
โข Factors of 402:
โข Factors of 448:
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448โข Factors of 402:
1, 2, 3, 6, 67, 134, 201, 402
GCD(448, 402) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (448) and denominator (402) by 2.
448 รท 2/402 รท 2 = 224/201
Step 3
Convert Improper Fraction to a Mixed Number
Because 224 is larger than 201, 224/201 can also be written as the mixed number 1 23/201.
224/201 = 123/201
Visual Representation
The diagram below illustrates Simplify 448/402 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 224/201 |
| Mixed Number Form | 1 23/201 |
| Decimal Form | 1.114428 |
| Percentage | 111.4428% |
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Frequently Asked Questions
What is 448/402 in simplest form?
448/402 simplified to lowest terms is 224/201.
What is the GCD (GCF) of 448 and 402?
The Greatest Common Divisor (GCD) of 448 and 402 is 2.
What are equivalent fractions to 448/402?
Equivalent fractions to 448/402 include 448/402, 672/603, and 896/804.