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Exact Answer
32768 : 49152 = 2 : 3
Simplified Ratio
2 : 3
GCF / Divisor
16384
As a Fraction
2/3
Unit Rate (1:X)
1 : 1.5

Step-by-Step Solution: 32768:49152 = 2:3

Step 1

Find the Greatest Common Factor (GCF)

Find the GCF of 32768 and 49152, which is 16384.
GCF(32768, 49152) = 16384
Step 2

Divide Both Terms by the GCF

Divide 32768 by 16384 (2) and 49152 by 16384 (3) to get the simplified ratio 2:3.
(32768 รท 16384) : (49152 รท 16384) = 2 : 3

Visual Representation

The diagram below illustrates Simplify ratio 32768:49152 visually:

Simplify Ratio 32768:49152 = 2:3A = 327682 partsB = 491523 partsEach block = 16384 (Greatest Common Factor)  •  Simplified: 2 : 3

Summary & Alternative Representations

Property / FormatValue
Simplified Ratio2 : 3
GCF / Divisor16384
As a Fraction2/3
Unit Rate (1:X)1 : 1.5

Frequently Asked Questions

What is the ratio 32768:49152 in simplest form?

32768:49152 simplified is 2:3.