Simplify 74/100 to Lowest Terms
74/100 simplified to its lowest terms is 37/50 (or 0.74 in decimal). See how to reduce 74/100 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/100 = 37/50
Simplified Fraction
37/50
Mixed Number
Proper (37/50)
Decimal Value
0.74
Percentage
74%
Step-by-Step Solution: 74/100 = 37/50
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 100:
• Factors of 74:
1, 2, 37, 74• Factors of 100:
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD(74, 100) = 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 (100) by 2.
74 ÷ 2/100 ÷ 2 = 37/50
Visual Representation
The diagram below illustrates Simplify 74/100 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/50 |
| Mixed Number Form | 37/50 |
| Decimal Form | 0.74 |
| Percentage | 74% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 74/100 in simplest form?
74/100 simplified to lowest terms is 37/50.
What is the GCD (GCF) of 74 and 100?
The Greatest Common Divisor (GCD) of 74 and 100 is 2.
What are equivalent fractions to 74/100?
Equivalent fractions to 74/100 include 74/100, 111/150, and 148/200.