Simplify 74/160 to Lowest Terms
74/160 simplified to its lowest terms is 37/80 (or 0.4625 in decimal). See how to reduce 74/160 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/160 = 37/80
Simplified Fraction
37/80
Mixed Number
Proper (37/80)
Decimal Value
0.4625
Percentage
46.25%
Step-by-Step Solution: 74/160 = 37/80
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 160:
• Factors of 74:
1, 2, 37, 74• Factors of 160:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD(74, 160) = 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 (160) by 2.
74 ÷ 2/160 ÷ 2 = 37/80
Visual Representation
The diagram below illustrates Simplify 74/160 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/80 |
| Mixed Number Form | 37/80 |
| Decimal Form | 0.4625 |
| Percentage | 46.25% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 74/160 in simplest form?
74/160 simplified to lowest terms is 37/80.
What is the GCD (GCF) of 74 and 160?
The Greatest Common Divisor (GCD) of 74 and 160 is 2.
What are equivalent fractions to 74/160?
Equivalent fractions to 74/160 include 74/160, 111/240, and 148/320.