What is 760/1350 Simplified? (Reduce 760/1350 to Lowest Terms: 76/135)

Exact Answer

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Problem: Simplify 760/1350 to Lowest Terms
Formula / Expression: 760/1350 = 76/135
Final Answer: 76/135
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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 760: 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
• Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
Working: GCD(760, 1350) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (760) and denominator (1350) by 10.
Working: 760 ÷ 10/1350 ÷ 10 = 76/135

Key Values:
- Simplified Fraction: 76/135
- Mixed Number Form: 76/135
- Decimal Value: 0.562963
- Percentage: 56.2963%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-760-1350/
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760/1350 = 76/135

Simplified Fraction

76/135

Mixed Number

Proper (76/135)

Decimal Value

0.562963

Percentage

56.2963%

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Step-by-Step Solution: 760/1350 = 76/135

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 760: 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
• Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75

GCD(760, 1350) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (760) and denominator (1350) by 10.

760 ÷ 10/1350 ÷ 10 = 76/135

Visual Representation

The diagram below illustrates Simplify 760/1350 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`76/135`
Mixed Number Form	`76/135`
Decimal Form	`0.562963`
Percentage	`56.2963%`

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Frequently Asked Questions

What is 760/1350 in simplest form?

760/1350 simplified to lowest terms is 76/135.

What is the GCD (GCF) of 760 and 1350?

The Greatest Common Divisor (GCD) of 760 and 1350 is 10.

What are equivalent fractions to 760/1350?

Equivalent fractions to 760/1350 include 152/270, 228/405, and 304/540.