Simplify 740/1600 to Lowest Terms
740/1600 simplified to its lowest terms is 37/80 (or 0.4625 in decimal). See how to reduce 740/1600 using Greatest Common Divisor (GCD = 20).
Exact Answer
740/1600 = 37/80
Simplified Fraction
37/80
Mixed Number
Proper (37/80)
Decimal Value
0.4625
Percentage
46.25%
Step-by-Step Solution: 740/1600 = 37/80
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 740:
• Factors of 1600:
• Factors of 740:
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740• Factors of 1600:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
GCD(740, 1600) = 20
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (740) and denominator (1600) by 20.
740 ÷ 20/1600 ÷ 20 = 37/80
Visual Representation
The diagram below illustrates Simplify 740/1600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/80 |
| Mixed Number Form | 37/80 |
| Decimal Form | 0.4625 |
| Percentage | 46.25% |
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Frequently Asked Questions
What is 740/1600 in simplest form?
740/1600 simplified to lowest terms is 37/80.
What is the GCD (GCF) of 740 and 1600?
The Greatest Common Divisor (GCD) of 740 and 1600 is 20.
What are equivalent fractions to 740/1600?
Equivalent fractions to 740/1600 include 74/160, 111/240, and 148/320.