Simplify 320/750 to Lowest Terms
320/750 simplified to its lowest terms is 32/75 (or 0.426667 in decimal). See how to reduce 320/750 using Greatest Common Divisor (GCD = 10).
Exact Answer
320/750 = 32/75
Simplified Fraction
32/75
Mixed Number
Proper (32/75)
Decimal Value
0.426667
Percentage
42.6667%
Step-by-Step Solution: 320/750 = 32/75
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 320:
• Factors of 750:
• Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320• Factors of 750:
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
GCD(320, 750) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (320) and denominator (750) by 10.
320 ÷ 10/750 ÷ 10 = 32/75
Visual Representation
The diagram below illustrates Simplify 320/750 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 32/75 |
| Mixed Number Form | 32/75 |
| Decimal Form | 0.426667 |
| Percentage | 42.6667% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 320/750 in simplest form?
320/750 simplified to lowest terms is 32/75.
What is the GCD (GCF) of 320 and 750?
The Greatest Common Divisor (GCD) of 320 and 750 is 10.
What are equivalent fractions to 320/750?
Equivalent fractions to 320/750 include 64/150, 96/225, and 128/300.