Simplify 448/360 to Lowest Terms
448/360 simplified to its lowest terms is 56/45 (or 1.244444 in decimal). See how to reduce 448/360 using Greatest Common Divisor (GCD = 8).
Exact Answer
448/360 = 56/45
Simplified Fraction
56/45
Mixed Number
1 11/45
Decimal Value
1.244444
Percentage
124.4444%
Step-by-Step Solution: 448/360 = 56/45
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 448:
• Factors of 360:
• Factors of 448:
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36
GCD(448, 360) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (448) and denominator (360) by 8.
448 ÷ 8/360 ÷ 8 = 56/45
Step 3
Convert Improper Fraction to a Mixed Number
Because 56 is larger than 45, 56/45 can also be written as the mixed number 1 11/45.
56/45 = 111/45
Visual Representation
The diagram below illustrates Simplify 448/360 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 56/45 |
| Mixed Number Form | 1 11/45 |
| Decimal Form | 1.244444 |
| Percentage | 124.4444% |
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Frequently Asked Questions
What is 448/360 in simplest form?
448/360 simplified to lowest terms is 56/45.
What is the GCD (GCF) of 448 and 360?
The Greatest Common Divisor (GCD) of 448 and 360 is 8.
What are equivalent fractions to 448/360?
Equivalent fractions to 448/360 include 112/90, 168/135, and 224/180.