Simplify 72/400 to Lowest Terms
72/400 simplified to its lowest terms is 9/50 (or 0.18 in decimal). See how to reduce 72/400 using Greatest Common Divisor (GCD = 8).
Exact Answer
72/400 = 9/50
Simplified Fraction
9/50
Mixed Number
Proper (9/50)
Decimal Value
0.18
Percentage
18%
Step-by-Step Solution: 72/400 = 9/50
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 400:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD(72, 400) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (72) and denominator (400) by 8.
72 ÷ 8/400 ÷ 8 = 9/50
Visual Representation
The diagram below illustrates Simplify 72/400 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/50 |
| Mixed Number Form | 9/50 |
| Decimal Form | 0.18 |
| Percentage | 18% |
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Frequently Asked Questions
What is 72/400 in simplest form?
72/400 simplified to lowest terms is 9/50.
What is the GCD (GCF) of 72 and 400?
The Greatest Common Divisor (GCD) of 72 and 400 is 8.
What are equivalent fractions to 72/400?
Equivalent fractions to 72/400 include 18/100, 27/150, and 36/200.