Simplify 58/84 to Lowest Terms
58/84 simplified to its lowest terms is 29/42 (or 0.690476 in decimal). See how to reduce 58/84 using Greatest Common Divisor (GCD = 2).
Exact Answer
58/84 = 29/42
Simplified Fraction
29/42
Mixed Number
Proper (29/42)
Decimal Value
0.690476
Percentage
69.0476%
Step-by-Step Solution: 58/84 = 29/42
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 58:
• Factors of 84:
• Factors of 58:
1, 2, 29, 58• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD(58, 84) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (58) and denominator (84) by 2.
58 ÷ 2/84 ÷ 2 = 29/42
Visual Representation
The diagram below illustrates Simplify 58/84 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 29/42 |
| Mixed Number Form | 29/42 |
| Decimal Form | 0.690476 |
| Percentage | 69.0476% |
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Frequently Asked Questions
What is 58/84 in simplest form?
58/84 simplified to lowest terms is 29/42.
What is the GCD (GCF) of 58 and 84?
The Greatest Common Divisor (GCD) of 58 and 84 is 2.
What are equivalent fractions to 58/84?
Equivalent fractions to 58/84 include 58/84, 87/126, and 116/168.