Simplify 180/320 to Lowest Terms
180/320 simplified to its lowest terms is 9/16 (or 0.5625 in decimal). See how to reduce 180/320 using Greatest Common Divisor (GCD = 20).
Exact Answer
180/320 = 9/16
Simplified Fraction
9/16
Mixed Number
Proper (9/16)
Decimal Value
0.5625
Percentage
56.25%
Step-by-Step Solution: 180/320 = 9/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 180:
โข Factors of 320:
โข Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60โข Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD(180, 320) = 20
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (180) and denominator (320) by 20.
180 รท 20/320 รท 20 = 9/16
Visual Representation
The diagram below illustrates Simplify 180/320 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/16 |
| Mixed Number Form | 9/16 |
| Decimal Form | 0.5625 |
| Percentage | 56.25% |
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Frequently Asked Questions
What is 180/320 in simplest form?
180/320 simplified to lowest terms is 9/16.
What is the GCD (GCF) of 180 and 320?
The Greatest Common Divisor (GCD) of 180 and 320 is 20.
What are equivalent fractions to 180/320?
Equivalent fractions to 180/320 include 18/32, 27/48, and 36/64.