Simplify 400/550 to Lowest Terms
400/550 simplified to its lowest terms is 8/11 (or 0.727273 in decimal). See how to reduce 400/550 using Greatest Common Divisor (GCD = 50).
Exact Answer
400/550 = 8/11
Simplified Fraction
8/11
Mixed Number
Proper (8/11)
Decimal Value
0.727273
Percentage
72.7273%
Step-by-Step Solution: 400/550 = 8/11
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 400:
โข Factors of 550:
โข Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400โข Factors of 550:
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
GCD(400, 550) = 50
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 50. Divide both the numerator (400) and denominator (550) by 50.
400 รท 50/550 รท 50 = 8/11
Visual Representation
The diagram below illustrates Simplify 400/550 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 8/11 |
| Mixed Number Form | 8/11 |
| Decimal Form | 0.727273 |
| Percentage | 72.7273% |
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Frequently Asked Questions
What is 400/550 in simplest form?
400/550 simplified to lowest terms is 8/11.
What is the GCD (GCF) of 400 and 550?
The Greatest Common Divisor (GCD) of 400 and 550 is 50.
What are equivalent fractions to 400/550?
Equivalent fractions to 400/550 include 16/22, 24/33, and 32/44.