Simplify 40/90 to Lowest Terms
40/90 simplified to its lowest terms is 4/9 (or 0.444444 in decimal). See how to reduce 40/90 using Greatest Common Divisor (GCD = 10).
Exact Answer
40/90 = 4/9
Simplified Fraction
4/9
Mixed Number
Proper (4/9)
Decimal Value
0.444444
Percentage
44.4444%
Step-by-Step Solution: 40/90 = 4/9
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 90:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCD(40, 90) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (40) and denominator (90) by 10.
40 ÷ 10/90 ÷ 10 = 4/9
Visual Representation
The diagram below illustrates Simplify 40/90 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/9 |
| Mixed Number Form | 4/9 |
| Decimal Form | 0.444444 |
| Percentage | 44.4444% |
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Frequently Asked Questions
What is 40/90 in simplest form?
40/90 simplified to lowest terms is 4/9.
What is the GCD (GCF) of 40 and 90?
The Greatest Common Divisor (GCD) of 40 and 90 is 10.
What are equivalent fractions to 40/90?
Equivalent fractions to 40/90 include 8/18, 12/27, and 16/36.