What is 750/1160 Simplified? (Reduce 750/1160 to Lowest Terms: 75/116)

Exact Answer

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Problem: Simplify 750/1160 to Lowest Terms
Formula / Expression: 750/1160 = 75/116
Final Answer: 75/116
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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 1160: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160
Working: GCD(750, 1160) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (750) and denominator (1160) by 10.
Working: 750 ÷ 10/1160 ÷ 10 = 75/116

Key Values:
- Simplified Fraction: 75/116
- Mixed Number Form: 75/116
- Decimal Value: 0.646552
- Percentage: 64.6552%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-750-1160/
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750/1160 = 75/116

Simplified Fraction

75/116

Mixed Number

Proper (75/116)

Decimal Value

0.646552

Percentage

64.6552%

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Step-by-Step Solution: 750/1160 = 75/116

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 1160: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160

GCD(750, 1160) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (750) and denominator (1160) by 10.

750 ÷ 10/1160 ÷ 10 = 75/116

Visual Representation

The diagram below illustrates Simplify 750/1160 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`75/116`
Mixed Number Form	`75/116`
Decimal Form	`0.646552`
Percentage	`64.6552%`

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Frequently Asked Questions

What is 750/1160 in simplest form?

750/1160 simplified to lowest terms is 75/116.

What is the GCD (GCF) of 750 and 1160?

The Greatest Common Divisor (GCD) of 750 and 1160 is 10.

What are equivalent fractions to 750/1160?

Equivalent fractions to 750/1160 include 150/232, 225/348, and 300/464.