Simplify 160/216 to Lowest Terms
160/216 simplified to its lowest terms is 20/27 (or 0.740741 in decimal). See how to reduce 160/216 using Greatest Common Divisor (GCD = 8).
Exact Answer
160/216 = 20/27
Simplified Fraction
20/27
Mixed Number
Proper (20/27)
Decimal Value
0.740741
Percentage
74.0741%
Step-by-Step Solution: 160/216 = 20/27
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 160:
โข Factors of 216:
โข Factors of 160:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160โข Factors of 216:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD(160, 216) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (160) and denominator (216) by 8.
160 รท 8/216 รท 8 = 20/27
Visual Representation
The diagram below illustrates Simplify 160/216 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 20/27 |
| Mixed Number Form | 20/27 |
| Decimal Form | 0.740741 |
| Percentage | 74.0741% |
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Frequently Asked Questions
What is 160/216 in simplest form?
160/216 simplified to lowest terms is 20/27.
What is the GCD (GCF) of 160 and 216?
The Greatest Common Divisor (GCD) of 160 and 216 is 8.
What are equivalent fractions to 160/216?
Equivalent fractions to 160/216 include 40/54, 60/81, and 80/108.