Simplify 720/1600 to Lowest Terms
720/1600 simplified to its lowest terms is 9/20 (or 0.45 in decimal). See how to reduce 720/1600 using Greatest Common Divisor (GCD = 80).
Exact Answer
720/1600 = 9/20
Simplified Fraction
9/20
Mixed Number
Proper (9/20)
Decimal Value
0.45
Percentage
45%
Step-by-Step Solution: 720/1600 = 9/20
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 720:
โข Factors of 1600:
โข Factors of 720:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30โข Factors of 1600:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
GCD(720, 1600) = 80
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 80. Divide both the numerator (720) and denominator (1600) by 80.
720 รท 80/1600 รท 80 = 9/20
Visual Representation
The diagram below illustrates Simplify 720/1600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/20 |
| Mixed Number Form | 9/20 |
| Decimal Form | 0.45 |
| Percentage | 45% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 720/1600 in simplest form?
720/1600 simplified to lowest terms is 9/20.
What is the GCD (GCF) of 720 and 1600?
The Greatest Common Divisor (GCD) of 720 and 1600 is 80.
What are equivalent fractions to 720/1600?
Equivalent fractions to 720/1600 include 18/40, 27/60, and 36/80.