What is 750/1600 Simplified? (Reduce 750/1600 to Lowest Terms: 15/32)

Exact Answer

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Problem: Simplify 750/1600 to Lowest Terms
Formula / Expression: 750/1600 = 15/32
Final Answer: 15/32
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 750: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
• Factors of 1600: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
Working: GCD(750, 1600) = 50

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 50. Divide both the numerator (750) and denominator (1600) by 50.
Working: 750 ÷ 50/1600 ÷ 50 = 15/32

Key Values:
- Simplified Fraction: 15/32
- Mixed Number Form: 15/32
- Decimal Value: 0.46875
- Percentage: 46.875%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-750-1600/
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750/1600 = 15/32

Simplified Fraction

15/32

Mixed Number

Proper (15/32)

Decimal Value

0.46875

Percentage

46.875%

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Step-by-Step Solution: 750/1600 = 15/32

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 750: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
• Factors of 1600: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160

GCD(750, 1600) = 50

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 50. Divide both the numerator (750) and denominator (1600) by 50.

750 ÷ 50/1600 ÷ 50 = 15/32

Visual Representation

The diagram below illustrates Simplify 750/1600 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`15/32`
Mixed Number Form	`15/32`
Decimal Form	`0.46875`
Percentage	`46.875%`

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Frequently Asked Questions

What is 750/1600 in simplest form?

750/1600 simplified to lowest terms is 15/32.

What is the GCD (GCF) of 750 and 1600?

The Greatest Common Divisor (GCD) of 750 and 1600 is 50.

What are equivalent fractions to 750/1600?

Equivalent fractions to 750/1600 include 30/64, 45/96, and 60/128.