Simplify 30/84 to Lowest Terms
30/84 simplified to its lowest terms is 5/14 (or 0.357143 in decimal). See how to reduce 30/84 using Greatest Common Divisor (GCD = 6).
Exact Answer
30/84 = 5/14
Simplified Fraction
5/14
Mixed Number
Proper (5/14)
Decimal Value
0.357143
Percentage
35.7143%
Step-by-Step Solution: 30/84 = 5/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 84:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD(30, 84) = 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 (84) by 6.
30 ÷ 6/84 ÷ 6 = 5/14
Visual Representation
The diagram below illustrates Simplify 30/84 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/14 |
| Mixed Number Form | 5/14 |
| Decimal Form | 0.357143 |
| Percentage | 35.7143% |
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Frequently Asked Questions
What is 30/84 in simplest form?
30/84 simplified to lowest terms is 5/14.
What is the GCD (GCF) of 30 and 84?
The Greatest Common Divisor (GCD) of 30 and 84 is 6.
What are equivalent fractions to 30/84?
Equivalent fractions to 30/84 include 10/28, 15/42, and 20/56.