Simplify 72/58 to Lowest Terms
72/58 simplified to its lowest terms is 36/29 (or 1.241379 in decimal). See how to reduce 72/58 using Greatest Common Divisor (GCD = 2).
Exact Answer
72/58 = 36/29
Simplified Fraction
36/29
Mixed Number
1 7/29
Decimal Value
1.241379
Percentage
124.1379%
Step-by-Step Solution: 72/58 = 36/29
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 58:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 58:
1, 2, 29, 58
GCD(72, 58) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (58) by 2.
72 ÷ 2/58 ÷ 2 = 36/29
Step 3
Convert Improper Fraction to a Mixed Number
Because 36 is larger than 29, 36/29 can also be written as the mixed number 1 7/29.
36/29 = 17/29
Visual Representation
The diagram below illustrates Simplify 72/58 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 36/29 |
| Mixed Number Form | 1 7/29 |
| Decimal Form | 1.241379 |
| Percentage | 124.1379% |
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Frequently Asked Questions
What is 72/58 in simplest form?
72/58 simplified to lowest terms is 36/29.
What is the GCD (GCF) of 72 and 58?
The Greatest Common Divisor (GCD) of 72 and 58 is 2.
What are equivalent fractions to 72/58?
Equivalent fractions to 72/58 include 72/58, 108/87, and 144/116.