Simplify 200/448 to Lowest Terms
200/448 simplified to its lowest terms is 25/56 (or 0.446429 in decimal). See how to reduce 200/448 using Greatest Common Divisor (GCD = 8).
Exact Answer
200/448 = 25/56
Simplified Fraction
25/56
Mixed Number
Proper (25/56)
Decimal Value
0.446429
Percentage
44.6429%
Step-by-Step Solution: 200/448 = 25/56
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 200:
• Factors of 448:
• Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200• Factors of 448:
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD(200, 448) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (200) and denominator (448) by 8.
200 ÷ 8/448 ÷ 8 = 25/56
Visual Representation
The diagram below illustrates Simplify 200/448 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 25/56 |
| Mixed Number Form | 25/56 |
| Decimal Form | 0.446429 |
| Percentage | 44.6429% |
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Frequently Asked Questions
What is 200/448 in simplest form?
200/448 simplified to lowest terms is 25/56.
What is the GCD (GCF) of 200 and 448?
The Greatest Common Divisor (GCD) of 200 and 448 is 8.
What are equivalent fractions to 200/448?
Equivalent fractions to 200/448 include 50/112, 75/168, and 100/224.