Simplify 30/42 to Lowest Terms
30/42 simplified to its lowest terms is 5/7 (or 0.714286 in decimal). See how to reduce 30/42 using Greatest Common Divisor (GCD = 6).
Exact Answer
30/42 = 5/7
Simplified Fraction
5/7
Mixed Number
Proper (5/7)
Decimal Value
0.714286
Percentage
71.4286%
Step-by-Step Solution: 30/42 = 5/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 42:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
GCD(30, 42) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (30) and denominator (42) by 6.
30 ÷ 6/42 ÷ 6 = 5/7
Visual Representation
The diagram below illustrates Simplify 30/42 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/7 |
| Mixed Number Form | 5/7 |
| Decimal Form | 0.714286 |
| Percentage | 71.4286% |
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Frequently Asked Questions
What is 30/42 in simplest form?
30/42 simplified to lowest terms is 5/7.
What is the GCD (GCF) of 30 and 42?
The Greatest Common Divisor (GCD) of 30 and 42 is 6.
What are equivalent fractions to 30/42?
Equivalent fractions to 30/42 include 10/14, 15/21, and 20/28.