Simplify 45/90 to Lowest Terms
45/90 simplified to its lowest terms is 1/2 (or 0.5 in decimal). See how to reduce 45/90 using Greatest Common Divisor (GCD = 45).
Exact Answer
45/90 = 1/2
Simplified Fraction
1/2
Mixed Number
Proper (1/2)
Decimal Value
0.5
Percentage
50%
Step-by-Step Solution: 45/90 = 1/2
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 45:
• Factors of 90:
• Factors of 45:
1, 3, 5, 9, 15, 45• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCD(45, 90) = 45
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 45. Divide both the numerator (45) and denominator (90) by 45.
45 ÷ 45/90 ÷ 45 = 1/2
Visual Representation
The diagram below illustrates Simplify 45/90 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/2 |
| Mixed Number Form | 1/2 |
| Decimal Form | 0.5 |
| Percentage | 50% |
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Frequently Asked Questions
What is 45/90 in simplest form?
45/90 simplified to lowest terms is 1/2.
What is the GCD (GCF) of 45 and 90?
The Greatest Common Divisor (GCD) of 45 and 90 is 45.
What are equivalent fractions to 45/90?
Equivalent fractions to 45/90 include 2/4, 3/6, and 4/8.