Simplify 74/116 to Lowest Terms
74/116 simplified to its lowest terms is 37/58 (or 0.637931 in decimal). See how to reduce 74/116 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/116 = 37/58
Simplified Fraction
37/58
Mixed Number
Proper (37/58)
Decimal Value
0.637931
Percentage
63.7931%
Step-by-Step Solution: 74/116 = 37/58
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 116:
• Factors of 74:
1, 2, 37, 74• Factors of 116:
1, 2, 4, 29, 58, 116
GCD(74, 116) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (116) by 2.
74 ÷ 2/116 ÷ 2 = 37/58
Visual Representation
The diagram below illustrates Simplify 74/116 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/58 |
| Mixed Number Form | 37/58 |
| Decimal Form | 0.637931 |
| Percentage | 63.7931% |
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Frequently Asked Questions
What is 74/116 in simplest form?
74/116 simplified to lowest terms is 37/58.
What is the GCD (GCF) of 74 and 116?
The Greatest Common Divisor (GCD) of 74 and 116 is 2.
What are equivalent fractions to 74/116?
Equivalent fractions to 74/116 include 74/116, 111/174, and 148/232.