Simplify 72/160 to Lowest Terms
72/160 simplified to its lowest terms is 9/20 (or 0.45 in decimal). See how to reduce 72/160 using Greatest Common Divisor (GCD = 8).
Exact Answer
72/160 = 9/20
Simplified Fraction
9/20
Mixed Number
Proper (9/20)
Decimal Value
0.45
Percentage
45%
Step-by-Step Solution: 72/160 = 9/20
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 160:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 160:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD(72, 160) = 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 (160) by 8.
72 ÷ 8/160 ÷ 8 = 9/20
Visual Representation
The diagram below illustrates Simplify 72/160 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/20 |
| Mixed Number Form | 9/20 |
| Decimal Form | 0.45 |
| Percentage | 45% |
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Frequently Asked Questions
What is 72/160 in simplest form?
72/160 simplified to lowest terms is 9/20.
What is the GCD (GCF) of 72 and 160?
The Greatest Common Divisor (GCD) of 72 and 160 is 8.
What are equivalent fractions to 72/160?
Equivalent fractions to 72/160 include 18/40, 27/60, and 36/80.