Simplify 40/30 to Lowest Terms
40/30 simplified to its lowest terms is 4/3 (or 1.333333 in decimal). See how to reduce 40/30 using Greatest Common Divisor (GCD = 10).
Exact Answer
40/30 = 4/3
Simplified Fraction
4/3
Mixed Number
1 1/3
Decimal Value
1.333333
Percentage
133.3333%
Step-by-Step Solution: 40/30 = 4/3
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 30:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30
GCD(40, 30) = 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 (30) by 10.
40 ÷ 10/30 ÷ 10 = 4/3
Step 3
Convert Improper Fraction to a Mixed Number
Because 4 is larger than 3, 4/3 can also be written as the mixed number 1 1/3.
4/3 = 11/3
Visual Representation
The diagram below illustrates Simplify 40/30 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/3 |
| Mixed Number Form | 1 1/3 |
| Decimal Form | 1.333333 |
| Percentage | 133.3333% |
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Frequently Asked Questions
What is 40/30 in simplest form?
40/30 simplified to lowest terms is 4/3.
What is the GCD (GCF) of 40 and 30?
The Greatest Common Divisor (GCD) of 40 and 30 is 10.
What are equivalent fractions to 40/30?
Equivalent fractions to 40/30 include 8/6, 12/9, and 16/12.