Simplify 30/40 to Lowest Terms
30/40 simplified to its lowest terms is 3/4 (or 0.75 in decimal). See how to reduce 30/40 using Greatest Common Divisor (GCD = 10).
Exact Answer
30/40 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 30/40 = 3/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 40:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40
GCD(30, 40) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (30) and denominator (40) by 10.
30 ÷ 10/40 ÷ 10 = 3/4
Visual Representation
The diagram below illustrates Simplify 30/40 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 30/40 in simplest form?
30/40 simplified to lowest terms is 3/4.
What is the GCD (GCF) of 30 and 40?
The Greatest Common Divisor (GCD) of 30 and 40 is 10.
What are equivalent fractions to 30/40?
Equivalent fractions to 30/40 include 6/8, 9/12, and 12/16.