Simplify 748/1600 to Lowest Terms
748/1600 simplified to its lowest terms is 187/400 (or 0.4675 in decimal). See how to reduce 748/1600 using Greatest Common Divisor (GCD = 4).
Exact Answer
748/1600 = 187/400
Simplified Fraction
187/400
Mixed Number
Proper (187/400)
Decimal Value
0.4675
Percentage
46.75%
Step-by-Step Solution: 748/1600 = 187/400
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 748:
• Factors of 1600:
• Factors of 748:
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748• Factors of 1600:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
GCD(748, 1600) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (748) and denominator (1600) by 4.
748 ÷ 4/1600 ÷ 4 = 187/400
Visual Representation
The diagram below illustrates Simplify 748/1600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 187/400 |
| Mixed Number Form | 187/400 |
| Decimal Form | 0.4675 |
| Percentage | 46.75% |
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Frequently Asked Questions
What is 748/1600 in simplest form?
748/1600 simplified to lowest terms is 187/400.
What is the GCD (GCF) of 748 and 1600?
The Greatest Common Divisor (GCD) of 748 and 1600 is 4.
What are equivalent fractions to 748/1600?
Equivalent fractions to 748/1600 include 374/800, 561/1200, and 748/1600.