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Exact Answer
40 : 100 = 2 : 5
Simplified Ratio
2 : 5
GCF / Divisor
20
As a Fraction
2/5
Unit Rate (1:X)
1 : 2.5

Step-by-Step Solution: 40:100 = 2:5

Step 1

Find the Greatest Common Factor (GCF)

Find the GCF of 40 and 100, which is 20.
GCF(40, 100) = 20
Step 2

Divide Both Terms by the GCF

Divide 40 by 20 (2) and 100 by 20 (5) to get the simplified ratio 2:5.
(40 รท 20) : (100 รท 20) = 2 : 5

Visual Representation

The diagram below illustrates Simplify ratio 40:100 visually:

Simplify Ratio 40:100 = 2:5A = 402 partsB = 1005 partsEach block = 20 (Greatest Common Factor)  •  Simplified: 2 : 5

Summary & Alternative Representations

Property / FormatValue
Simplified Ratio2 : 5
GCF / Divisor20
As a Fraction2/5
Unit Rate (1:X)1 : 2.5

Frequently Asked Questions

What is the ratio 40:100 in simplest form?

40:100 simplified is 2:5.